The random variable x is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.4. The probability that there are more than 5 occurrences in ten minutes is:____.a. .0241.b. .0771.c. .1126.d. .9107.The random variable x satisfies which of the following probability distributions?
A. Normal.B. Poisson.C. Binomial

Answers

Answer 1

The options given don't correspond to the values in the question. The options are from another question where mean is 5.3 and the probability being looked for is for exactly 3 occurrences and 5 occurrences

Answer:

A) 0.6511

B) Poisson distribution

Step-by-step explanation:

We are given;

Mean: μ = 5.4 minutes

Now, we want to find the probability that there are more than 5 occurrences in ten minutes.

This will be written as;

P(x > 5) = 1 - P(x < 5)

P(x < 5) = P(x = 4) + P(x = 3) + P(x = 2) + P(x = 1) + P(x = 0)

We will use Poisson distribution for this. The formula is;

P(x) = [(e^(-μ)) × μ^(x)]/x!

P(0) = [(e^(-5.4)) × 5.4^(0)]/0! = 0.004517

P(1) = [(e^(-5.4)) × 5.4^(1)]/1! = 0.02439

P(2) = [(e^(-5.4)) × 5.4^(2)]/2! = 0.06585

P(3) = [(e^(-5.4)) × 5.4^(3)]/3! = 0.11853

P(4) = [(e^(-5.4)) × 5.4^(4)]/4! = 0.16

Thus;

P(x < 5) = 0.16 + 0.11853 + 0.06585 + 0.004517 = 0.3489

Thus;

P(x > 5) = 1 - P(x < 5) = 1 - 0.3489 = 0.6511

B) like seen from solution A above, we used Poisson distribution formula.

Thus, random variable x satisfies Poisson distribution


Related Questions

What is Square root of 296 to the nearest tenth?

Answers

Answer:

16.4

Step-by-step explanation:

√269= 16.40121946...

simplifies to 16.4 I believe

Answer: 17.2

Step by step explanation: Here are step-by-step instructions for how to get the square root of 296 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 296 to be:

√296 = 17.20465053408530

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

17.20

Step 3: Round 17.20 so you only have one digit after the decimal point to get the answer:

17.2

2. A spider can walk at a certain speed and run at
another speed. If she walks for 10 seconds and runs for 9
seconds, she travels 85m. If she walks for 30 seconds and
runs for 2 seconds, she travels 130m. Find her speeds of
walking and running.

Answers

Answer:

The answer is below

Step-by-step explanation:

Speed is the ratio of distance covered to the time taken. Speed is given by the formula:

speed = distance / time.

Let us assume the spider walking speed is x and its running speed is y.

If the spider walks for 10 seconds and runs for 9  seconds, she travels 85m. distance = speed * time, hence:

Total distance = distance covered walking + distance covered running

10x + 9y = 85     (1)

Also if she walks for 30 seconds and  runs for 2 seconds, she travels 130m. Hence:

30x + 2y = 130   (2)

Solving equation 1 and 2 simultaneously by mutiplying equation 1 by 3 and subtracting equation 2 from the result:

25y = 125

y =5 m/s

Put  y = 5 in eqn. 2

30x + 2(5) = 130

30x = 120

x = 4 m/s

The spider walks at 4 m/s and runs at 5 m/s

I don't understand how to do things like 5 divided by 1/3.​

Answers

No worries

First write 5 as 5/1.

Then, our division becomes:

5/1 ÷ 1/3

Then we just need to turn on second number upside down and multiply.

5/1 × 3/1

= 15/1

=> 15

Since I’m kinda slow I need help on this please

Answers

Answer:

when x=5, y=20

when x=3, y=12

when x=4, y=16

I hope that helps you!! :)

Which of the following is not a solution of the equation y=3x-4?
A. 2,2
B. 0,-4
C. 4,8
D. -1,-1

Answers

Plug in the numbers
2 = 3(2) - 4, true
-4 = 3(0) - 4, true
8 = 3(4) - 4, true
-1 = 3(-1) - 4, false

Solution: D

Morgan's way to solve the equation |2x-7| =5 is first to write |x-3.5|=2.5. explain this approach, and then finish the job.

Answers

Answer:

Morgan divided 2 throughout the original equation, giving her |x-3.5|=2.5.

x = 6 and x = 1

Step-by-step explanation:

|2x-7|=5 -- divide by 2

|x-3.5|=2.5 and |x-3.5|=-2.5 -- since this is an absolute value equation, we have to consider both positive and negative

x-3.5 = 2.5

x = 6

x-3.5 = -2.5

x = 1

hey im dum dum what's 45*23455/76?

Answers

Answer:

13887.8289474

Step-by-step explanation:

i used a calculator cuz im dum too lol

Answer:

45*23455/76 = 133887.82894736

helpppppp pleaseeee


question: Why do we need to know the mass of a robot? *
why is this in math why does my teacher does this

Answers

Answer:

To know what the answer is

Step-by-step explanation:

clearly I do not know, but I can say that we do need to know the mass bc in the future there will be more and more androids on the rising making human interaction bad.

to find out the equation take the seed and the time. (this to make it look like i answered) Taking the mass you will be able to find out how manyspeed is found by the time and masstime is found out by the mass and speedi dont know if this helped

Answer:

Step-by-step explanation:

sin θ = 12/37. Find tan θ.

Answers

Answer:

B

Step-by-step explanation:

Use SOHCAHTOA.

sinθ = [tex]\frac{opposite}{hypotenuse}[/tex]

Opposite side length= 12

Hypotenuse length = 37

Find the adjacent side length (b) using the Pythagorean theorem.

[tex]12^2 + b^2 = 37^2[/tex]

b = 35

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = 12/35

Choice B is the correct answer.

Answer:

Step-by-step explanation:

using sin inverse rule to get  theta

[tex]sin^{-1} (\frac{12}{37} ) =18.9246[/tex]  <---- theta

so tan(18.9246) =12 /35

work out the size of angle x​

Answers

I know this is off topic but I hope u have a good day

What is the answer answer and plz give me step by step explaining

Answers

Answer:

x = 5

Step-by-step explanation:

6 + 8(x - 1) = 2(3x + 4)

We evaluate the numbers in the brackets first.

(8 × x = 8x, 8 × 1 = 8, 2 × 3x = 6x, 2 × 4 = 8)

6 + 8x - 8 = 6x + 8

The left hand side of the equation is not exactly simplified, so we will evaluate it further first.

(6 - 8 = -2)

8x - 2 = 6x + 8

Now we can start shifting the x and the numbers separately.

Note that when pushing 6x from the right side to the left side, it needs to change to a negative 6x and vice versa for -2 turning into +2.

8x - 6x = 8 + 2

Further evaluation

2x = 10

Now we can simply find x.

Note that for this, ×2 becomes ÷2 when it shifts from the left side to the right side of the equation.

x = 10 ÷ 2

Evaluate.

x = 5

Please Explain and show answer

Answers

Looking at the graph. When x = 1, y = 15.

Meaning that each hours, the gallon of water will be filled in 15 gallons.

So in 10 hours, that'd be

10 × 15 = 150 gallons of water.

Therefore, the answer is 150 gallons of water.

-2(x+4)²= -200

can you guys please help

Answers

Answer: x= 6 or - 14

1) 16% of what number is 14?
2) 52 is what percent of 156

Answers

Answer: first one answer is 2.24

second one answer is 81.12

what is the solution for x in the question? -4 +5x-7 =10+3x-2x
x =4/13
x =4/21
x =21/4
x =13/4

Answers

Answer:

x= 21/4

Step-by-step explanation:

have a good day

What is the approximate area of the unshaded region in the figure below

Answers

Answer:

where is the shaded part?

Step-by-step explanation:

Answer: We can't answer the question without a shape or an expatiation.  Please try again with an image or at least tell the answers and image in detail.

Step-by-step explanation:

Solve P-6 = 16. Check your answer.
O p = 22
O p = -22
O p = 10
O p = -10

Answers

The answer is P=22
P-6=16
we can add 6 to both sides to cancel out the -6 and get p by itself.
p=16+6
now we add them
p=22

Each of four test scores in Connie’s class is to be weighted equally. On the first three tests, Connie scored 80%, 90% and 95%. What percent must she score on her fourth test to have an overall average of exactly 90%?

Answers

Answer:

95%is the answer

Step-by-step explanation:

Answer:

95%

Step-by-step explanation:

We can use the balancing method to do this.. first what is the total below 90?

The total is 10% because 90-80 which was the only percentage below 90 is 10%. Then, what is the total above 90?

The total is 5% because the only percentage above 90 is 95 and 95-90 is 5%

Now we use the balancing method to get from 5-10.

Using the balancing method we get 95%

How many solutions does the equation
10x – 9x + 1 = 1 + 5 - 4 have?

Answers

Answer:

One Solution: x = 1

Step-by-step explanation:

Step 1:

10x - 9x + 1 = 1 + 5 - 4       Equation

Step 2:

x + 1 = 2          Combine Like Terms

Step 3:

x = 2 - 1        Subtract 1 on both sides

Answer:

x = 1

Hope This Helps :)

which expression is not equivelent to 2/3 x 4 ​

Answers

Answer:

8/3

Step-by-step explanation:

[tex]\frac{2}{3} \times 4\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{b}\times c=\frac{a\times c}{b}\\\\\frac{2}{3}\times \:4=\frac{2\times \:4}{3}\\\\\mathrm{Multiply\:the\:numbers:}\:\\2\times \:4=8\\\\=\frac{8}{3}[/tex]

Which is greater 0.25 or 0.025

Answers

Answer:

0.25

Step-by-step explanation:

0.25*100=25

0.05*100=5.25

25 is greater than 5.25 so 0.25 is your answer

Hope this helps :) and pls give brainliest

What course level took the longest to complete? University course and costs

Answers

............ . . . m m. .

Multiply. Write the answer in simplest form.
2 1/6 x 3 1/2

Answers

Answer:

The answer is 91/12 in simplest form.

solve for the missing value (?) 3:9=? ?:81=

Answers

Answer:

27

Step-by-step explanation:

First you need to figure out what times 9 = 81

9 x 9 =81

since you have to do the same thing on both sides of the equation you do

3 x 9

which gets you 27

Jill and Erika made 5 gallons of lemonade for their lemonade stand.

Part1: How many quarts did they make?

Part2: If they charge $2.00 per quart, how much money will they make if they sell it all?

Answers

Part 1: 4 quarts in a gallon
4 * 5 = 20 quarts

Part 2: 20 * 2 = 40
They will make $40.00

Joshua rents an apartment in an all-brick building in the city. The value of the
belongings in the apartment is about $25,000. If Joshua wants to insure his
belongings while renting, how much will he have to pay for insurance per
year?
Annual Premium per $100 of coverage
Brick
Steel
Mixed
Wood
Area
Building Contents Building Contents Building Contents Building Contents
rating
10.39 0.43 0.5
0.54
0.55 0.65 0.66 0.76
Suburb | 0.45 0.52 0.56 0.63 0.72 0.74 0.83 0.85
Rural 0.6 0.69 0.71 0.8 0.89 0.91 1
1.02
City
A. $107.50
B. $150.00
C. $173.50
D. S178.65

Answers

Answer:

107.5

Step-by-step explanation:AOPED

Riz got $200 for his birthday. He bought several long tennis rackets that cost $45.50 each. After the purchase he has $18 . Write an equation to find out how many rackets he bought and then find the number of rackets.

Answers

Answer:

he has bought 18 rackets.

Step-by-step explanation

papa loves a big juicy peen inside of him

Answer:

4

Step-by-step explanation:

(200-18)/45.50

= 182/45.50

= 4

Is this a function?

Answers

Answer:

no

Step-by-step explanation:

Answer:

Step-by-step explanation:

 

In my opinion I would say No but I could be wrong

degree of precision 15.68 x 1.1

Answers

Answer:

15.68×1.1 = 17.248 so if we see then it has 5 sig figs

GIVING BRAINLIEST AND STARS

13)
Using a map scale of 1/2 inch = 10 miles, what would be the distance on the map between two cities that are actually 120 miles
apart?
A)
6 inches
B)
8 inches
C)
10 inches
D)
12 inches

Answers

Answer:

A) 6 Inches

Step-by-step explanation:

1/2=10 to find how many inches we need to get 120 miles, you have to find the conversion rate.

Conversion rate is 120 ÷ 10 which equals 12.

Now we multiply the conversion rate (12) times 1/2 to get an answer of 6 inches.

i'd appreciate a brainliest :)

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