A random Gaussian process x has a mean of 2.5 and variance of 0.36. Calculate the probability of the random variable having a value less than 3.

Answers

Answer 1

Answer: 0.79758

Step-by-step explanation:

Given that :

Mean (m) = 2.5

Variance = 0.36

Thw standard deviation = sqrt(variance) = sqrt(0.36) = 0.6

The probability of the random variable having a value less than 3 is obtained by:

P(x < 3)

Using the relation to obtain the standardized Zscore :

Z = (x - m) / s

Z = (3 - 2.5) / 0.6

Zscore = 0.8333333

p(Z < 0.833) = 0.79758 ( Z probability calculator)


Related Questions

I WILL GIVE BRAINLIST Answer the questions to compare 3/12 and 2/9 by using their decimal forms.

1. How can you find the decimal forms of 3/12 and 2/9?

2. Find the decimal form of 3/12 Show your work


3. Find the decimal form of 2/9 Show your work

Answers

Answer:

3/12=0.25

Step-by-step explanation:

3/12=1/4

1/4*25/25 =25/100

25/100 = 0.25

Answer:

1.  To find the decimal form of 2/9 and 3/12, you have to divide the numerator by the denominator.

2. 0.25

3. 0.22222222

Step-by-step explanation:

1. pretty much explained it

2. divided the numerator by the denominator

3. same thing as 2 (divided the numerator by the denominator)

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Solve.

4x + 6 < -6

plz show ur work ♡​

Answers

Answer:

The answer is x<−3

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

4x+6−6<−6−6

4x<−12

Step 2: Divide both sides by 4.

[tex]\frac{4x}{4} =\frac{-12}{4}[/tex]

x<−3

If Tim has 2/3 pizza to share with 6 friends how much does he friend get

Answers

Answer:

Each friend gets 1/9th of the pizza.

Step-by-step explanation:

Assuming Tim does not have any pizza, you would multiply 2/3 by 3 to get 6/9. 6/9 divided by 6 is 1/9.

x =0, y>=0 Maximum for P =3x +2y

Answers

Answer:

day

Step-by-step explanation:

6th grade and the final grade for this semester and the

Ariane borrows $200 on a 2−year loan. She is charged 5% simple interest per year. How much interest is she charged for 2 years? What is the total amount she has to pay back?

Answers

Answer:

Interest charged over two years: $20

Total amount: $220

Step-by-step explanation:

The formula for simple interest is A = P ( 1 + rt ).

A = 200 ( 1 + (0.05 * 2))

A is the total amount ( interest + principle )

A = 220

P is the principle ( initial amount deposited )

P = 200

R refers to rate (in percent)

R = 0.05

T = time period (in years)

T = 2

(3x + 5) (x - 2)
Multiply?

Answers

Answer:

[tex]3x^2-x-10[/tex]

Step-by-step explanation:

This equation cannot be simplified by much, so, the final answer is still an equation, [tex]3x^2-x-10[/tex].

Hope this helped! :)

Answer:

Here,

(3x+5)(x-2)

=3x^2-6x+5x-10

=3x^2-x-10

=3x^2-6x+5x-10

=3x(x-2)+5(x-2)

=(3x+5)(x-2)

Mr. and Mrs. Brown went to two movies. The first one lasted 3 1/2 hours and the second one lasted 1 1/3 hours . How much longer was the first than the second movie?

Answers

Answer:

2 1/6 longer

Step-by-step explanation:

3 1/2-1 1/3

7/2 - 4/3

21/6-8/6

13/6 or 2 1/6

so 2 1/6 longer.

Hope this helps :D

Answer:

2 1/6 hours longer

Step-by-step explanation:

Hope the helps!

i need a step by step explanation

Answers

Answer:

1/2c-4

Step-by-step explanation:

First, you distribute the fraction on the outside to the numbers inside of the parenthesis. So, you distribute 1/2 to c, which gives you 1/2 x c = 1/2c. Then, you distribute the 1/2 to -8, which gives you 1/2 x -8 = -4. You combine these expression together and get your final answer as 1/2c-4.

Can someone please help me ?

Answers

Answer:

Option c is correct

Step-by-step explanation:

Y =mx+c

Where m=2/3

c= 8/3

Answer:

the third option is the right answer

Step-by-step explanation:

y = mx+c

m is the slope

c is the y-intercept

compare the below equations:

[tex]y = mx + c[/tex]

[tex]f(x) = \frac{2}{3} x + \frac{8}{3} [/tex]

[tex]m = \frac{2}{3} \: and \: c = \frac{8}{3} [/tex]

Here we go someone help me with this!

Answers

Answer:

I think they are-

Step-by-step explanation:

I have never learned this so please don't put every single last bit of trust in me- But I believe they are congruent-

Of the
44
people who started a math class meeting at
10
:
00
each morning, only
37
finished the class. What fraction of people finished the class?

Answers

Answer: .8409 or 37/44

Step-by-step explanation:

Is this a function?

Answers

Answer:

It isn't a function.

Step-by-step explanation:

Since there are two points on the same x value, in this case x=3, this means that these points can not be a function.

Question 2 (5 points)
(01.01 LC)

Which rational number equals 0 point 1 with bar over 1? (5 points)

Question 2 options:

1)

1 over 11

2)

1 over 10

3)

1 over 9

4)

1 over 8

Answers

Answer:

3. 1 over 9 is the correct answer

Answer:

option 3 is correct.

hope it helps

Mike has a collection of baseball cards and baseball figurines. If the ratio of cards to figurines is 5:7 and there are 25 cards in his collection, how many figurines does he have

Answers

Answer:

35 figurines

Step-by-step explanation:

if the ratio of cards to figurines is 5:7 and there are 25 cards, we multiply the ratio by 5 to make the 5 into a 25 and so can find out how mant figurines there are.

5*5:7*5= 25:35

so there are 35 figurines

A consumer group is testing camp stoves. To test the heating capacity of a stove, they measure the time required to bring 2 quarts of water from 50 degrees to boiling.
Two competing models are under consideration. Thirty-six stoves of each model were tested and the following results were obtained.
Model 1: mean time is 11.4 and standard deviation is2.5
Model 2: mean time is 9.9 and standard deviation is 3.0
Is there any difference between the performances of these two models? {use a .05 level of significance}. Find the p-value of the sample statistic and do a significance test.
Find a 95% confidence interval for the difference of the means.

Answers

Answer:

a

The decision rule  is  

Reject the null hypothesis

  The conclusion is  

There is sufficient evidence to show that there is a difference between the performances of these two models

b

The  95% confidence interval is  [tex] 0.224   <  \mu_1 - \mu_2  < 2.776  [/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  36

    The first sample mean is  [tex]\= x_1 = 11.4[/tex]

    The first standard deviation is  [tex]s_1 = 2.5[/tex]

    The second sample mean is   [tex]\= x_2 = 9.9[/tex]

     The second standard deviation is  [tex]s_2 = 3.0[/tex]

      The level of significance is  [tex]\alpha = 0.05[/tex]

The null hypothesis is  [tex]H_o : \mu_1 - \mu_2 = 0[/tex]

The alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 \ne 0[/tex]

Generally the test statistics is mathematically represented as

      [tex]z = \frac{ (\= x_1 - \= x_2 ) - (\mu_1 - \mu_2 ) }{ \sqrt{ \frac{s_1^2 }{n} + \frac{s_2^2 }{ n} } }[/tex]

=>    [tex]z = \frac{ ( 11.4 - 9.9) - 0 }{ \sqrt{ \frac{2.5^2 }{36} + \frac{ 3^2 }{36 } } }[/tex]

=>     [tex]z = 2.3[/tex]

From the z table  the area under the normal curve to the left corresponding to  2.3 is  

       [tex]P( Z > 2.3 ) = 0.010724[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value = 2 * P( Z > 2.3 )[/tex]

=>    [tex]p-value = 2 * 0.010724[/tex]

=>    [tex]p-value = 0.02[/tex]

From the value obtained we see that  [tex]p-value < \alpha[/tex] hence  

The decision rule  is  

Reject the null hypothesis

  The conclusion is  

There is sufficient evidence to show that there is a difference between the performances of these two models

Considering question b

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \sqrt{ \frac{s_1^2 }{n } + \frac{s_2^2}{n}} [/tex]

 => [tex]E = 1.96  *    \sqrt{ \frac{2.5^2 }{ 36 } + \frac{ 3^2}{36}}  [/tex]

  => [tex]E = 1.276   [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]( \= x_1 - \= x_2) -E <  \mu_1 - \mu_2  < ( \= x_1 - \= x_2) + E [/tex]

=>  [tex]( 11.4 - 9.9 ) -1.276  <  \mu_1 - \mu_2 < ( 11.4 - 9.9 ) + 1.276   [/tex]

=>  [tex] 0.224   <  \mu_1 - \mu_2  < 2.776  [/tex]

What number should go into the blank so that the two expressions are equivalent to each other? (Use only the digits 0 - 9 to write the number.)

b + b – 1 + b + b + 10 = __b + 9

Answers

Answer:

4.

Step-by-step explanation:

lets just say the unknown is x.

[tex]b+b-1+b+b+10=bx+9\\4b+9=bx+9\\4b=bx\\4=x\\[/tex]

Hope this helps :D

MULTIPLE CHOICE QUESTION
What is the COP of the table below?
X
Y
2
1
4.
2
6
3
8
4
K = 2/4
K = 4/2
K = 1/2
K = 2/1

Answers

Answer:

K = 2/1

Step-by-step explanation:

Constant of proportionality can be found using any two given pair of values.

Constant of proportionality = y/x

Therefore, using (1, 2) , we have

Constant of proportionality = y/x = 2/1 = 2

Or it can be written as: k = ²/1 = 2

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping.
The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each
topping. How many toppings need to be added to a large cheese pizza from
Palanzio’s Pizzeria and Guido’s Pizza in order for the pizzas to cost the
same, not including tax?

Answers

Answer:2

Step-by-step explanation:

.9x+6.8

.65x+7.3

Find x by graphing it

Whoops wrong question

Which of the following is an example of the distributive property?
1. 3(10 + 5) = 3(15)
2. 3(10 + 5) = (10 + 5)3
3. 3(10 + 5) = 30 + 15
4. 3(10 + 5) = 3(5 + 10)​

Answers

Answer:

3 - 30+15

Step-by-step explanation:

take the outside number and multiply it by each individual number in the parenthesis one at a time

−4(m+3)=24
m=?
If you know the answer, please let me know. I really need help. Thank you.
(If the answer is right, this person will be the smartest)

Answers

Answer:

Your answer is going to be m=-9

Step-by-step explanation:

(-4(m+3))/-4=(24)/-4

m+3=-6

   -3  -3

m=-9

99+99x=0 how to solve this

Answers

Step-by-step explanation:

99+ 99x = 0

99 = - 99x

x = - 99/99

x = -1

Hope it helps :)

Answer:

X = -1

Step-by-step explanation:

99 + 99x = 0

99x = -99

x = -99/99

x = -1

I need the answer ASAP

Answers

Answer:

the are is 14

brainliest??

Step-by-step explanation:

Answer:

48ft

Step-by-step explanation:

Hope this helps. :)

Please help i’m giving out brainliest || Q1

Answers

the answer would be a I'm my mind

it would be 8.5 ;
there is 8 box shaded and half of one box shaded
[ 0.5 = 1/2 ]

What is .63 converted into a decimal?

Answers

Answer: 63 as a decimal is 0.63

Step-by-step explanation:

Answer:

the answer to your question is 0.63

A triangle has side lengths of 13 feet, 18 feet, and 12 feet. What kind of triangle is it?

Answers

this is a scalene triangle

Answer:

Scalene Triangle

Step-by-step explanation:

A scalene triangle is a triangle that’s supposed to have all three sides with unequal lengths.

Hamburger meat cost $3.68 pound. which equation best represent y, the total cost of x pounds of hamburger meat?

Answers

Answer:

Y=3.68x

Step-by-step explanation:

Answer:

Its should be y=$3.68(X)

What is the equation of the line shown in the graph below? *

Answers

Answer:

y=1/2x−2

Step-by-step explanation:

if you find the 2 point that touch the y and x-axis on the graph, (4,0) and (0,-2), and put it in y=mx+b formula, you get the answer.

Solve the equation. Then check your solution.

- 2/5 + a = 1/5

a. 3/5
b. - 1/5
c. 3/10
d. - 3/5​

Answers

Answer:

3/5 is the correct answer of the question

Answer:

The answer is

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

Let's solve this equation!

[tex] - \frac{2}{5} + a = \frac{1}{5} \\ \frac{ + \frac{2}{5} \: \: \: \: \: \: = + \frac{2}{5} }{a = \frac{3}{5} } [/tex]

find the angle measure of minor arc MP.

Answers

Step-by-step explanation:

Angle at center = 2 * Angle at circumference.

Angle MNP = 2 * Angle MQP = 30°.

Hence the angle measure of minor arc MP is 30°.

Answer:

30 degrees

Step-by-step explanation:

arc measure in degrees is twice the measure of the inscribed angle

40 Points answer fast
I will mark brainliest answer quickly
A carton has a length of fraction 2 and 1 over 4 feet, width of fraction 1 and 3 over 5 feet, and height of fraction 2 and 1 over 3 feet. What is the volume of the carton?

A: 4 and 1 over 3 cubic feet

B: 4 and 2 over 5 cubic feet

C: 8 and 1 over 4 cubic feet

D: 8 and 2 over 5 cubic feet

Answers

The correct answer is D

Answer:

c

Step-by-step explanation:

hope it helps

Other Questions
could somebody help please From 1990 to 2000, the number of visits by the people to Bryce Canyon National Park increased by about 23.9 thousand visits per year. In 2000, there were about 1102.4 thousand visits to the park. 1. What similarities do you noticeWithin a group(column)?Within a row (period)?2. Locate the element in Period 4, Column 1.Predict the number of valence electrons.Predict the Lewis Dot Structure. Please Help!!!(screenshot provided)I have to find the value of X and Y in both questions. This is due today so please help ASAP! Fill in the blanks using the correct form of the verb prfrer.Modle: Jeanne prfre nager.1. Nous jouer au foot.2. Tu faire du roller?3. Amina manger des frites.4. M. et Mme Lazzize, ils aller au cinma.5. Moi, je aller au parc.6. Sophie et Malika, elles couter la musique alternative.7. On parler franais.8. Vous manger la maison? Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additionalquestionsOnline Content Site 1Why isn't a good idea to study in bed? PLEASE HURRY I NEED BY 9, 45 POINTSUse the following guide to write an article on the importance and lasting impact of the Louisiana Purchase. Your article must contain details and facts from the reading to support your statements. You do not have to include the red portions of the guide in your final submission and are encouraged to delete those parts. ________________________________________________________________Article Title: Reporter (Your Name): Editor (Your Instructors Name): Date: First Paragraph: Hook your reader into wanting to read your article. You could tell a story or use a quote. You might relate the past to modern events or your readers lives. Introduce the event and basic facts like people and places. Use at least three to five sentences.Second paragraph: Discuss one reason why the Louisiana Purchase is/was important. Use facts from the lesson to back up your idea. Use at least three to five sentences.Third paragraph: Discuss a second reason the Louisiana Purchase is/was important. Use facts from the lesson. Use at least three to five sentences. Fourth paragraph: Discuss a third reason the Louisiana Purchase is/was important. Use facts from the lesson. Use at least three to five sentences. Fifth paragraph: This is where you summarize and review what you wrote.Use at least three to five sentences. who did the american system by henry clay help 0.50(61 + 3s)Use the Distributive Property to expand the expression. 4. What is a mortgage used to purchase? (1 point) How many hydrogen ions (H+) are in a mole? MUSICProgressions can start on any number of chords but usually end on the I.true or false The length of each side of an equilateral triangle is 74 mm, correct to the nearest millimetre.Calculate the smallest possible perimeter of the triangle. Bruh I hate science Pls help meList 5 physical properties of matter.What is a chemical property?List 2 chemical properties.What is the difference between chemical property and chemical change?List 3 products that are the results of chemical reactions. At a little known Vacation Spot, Taxi fares are a bargain a 48 mile taxi ride takes 54 minutes and costs 43.20 you want to find the cost of a 25 mile taxi ride what unit Price do you need Which of the following is not a sign that chemical reaction has taken place?a. temperature change b. formation of a liquid c. color change d. formation of a gas A map has a scale of 2 in. = 25 mi. Town A is 135 miles from Town B. Which equationcan be used to calculate the distance between the two towns on the map? Find the area of the trapezoid. Please help! Wildhorse Co. took a physical inventory on December 31 and determined that goods costing $198,500 were on hand. Not included in the physical count were $25,000 of goods purchased from Waterway Industries, FOB, shipping point, and $26,000 of goods sold to Oriole Company for $30,000, FOB destination. Both the Waterway purchase and the Oriole sale were in transit at year-end.What amount should Wildhorse report as its December 31 inventory define the term cell division