About 1/5 of all adults in the United States have type O blood. If four randomly selected adults donate blood, find the probability of each of the following events.

a. All four are type O.
b. None of them is type O.
c. Two out of the four are type O .

Answers

Answer 1

Answer:

We know that:

1/5 = 0.2 of all adults in US have type O blood.

Then: 4/5 = 0.8 of all adults in US do not have type O blood.

a)  All four are type O.

Let's think this, as four events with two possible outcomes, having type O blood, with a probability of 0.2, and not having type O blood with a probability of 0.8

Now if we want the four people to have type O blood, then we have the outcome with probability 0.2 four times, and as we know, the joint probability is equal to the product of the individual probabilities:

P  =0.2^4 = 0.0016

b) None of them is type O.

Similar to the above case, but this time we work with four times the probability 0.8

P = 0.8^4 = 04096

c) Two of the four are type O.

Here we will have two times the probability 0.2, and two times the probability 0.8.

p = 0.2^2*0.8^2

But, if the people is ordered, the two persons with type O blood can be:

first and second

first and third

first and fourth.

second and third

second and fourth

third and fourth.

6 different combinations, then the actual probability for this case will be:

P = 6*p = 6*(0.2^2*0.8^2) = 0.1536

Answer 2

The probability of All four are type O, None of them is type O, and Two out of the four are type O is 0.0016, 0.4096, and 0.0256 respectively.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

About 1/5 of all adults in the United States have type O blood.

p = 0.2

q = 1 - p = 1 - 0.2 = 0.8

a. All four are type O. The probability will be

P = p⁴  

P = 0.2⁴

P = 0.0016

b. None of them is type O. The probability will be

P = q⁴  

P = 0.8⁴

P = 0.4096

c. Two out of the four are type O. The probability will be

P = p² × q²  

P = 0.2² × 0.8²

P = 0.04 × 0.64

P = 0.0256

More about the probability link is given below.

https://brainly.com/question/795909


Related Questions

PLEASE HELP FAST AND CORRECT! 50 points!

Answers

Answer:

150 cubic centimeters

Step-by-step explanation:

1/6×X+95=4/5×X

Subtract X from both sides of the equation

Multiply/Combine like terms

95=19/30×X

Multiply by 30/19 and simply

30/19*95=X

Solve for X to get 150

1/6×150=25

4/5×150=120

Answer:

150 cubic centimeters

Step-by-step explanation:

1/6*x+95=4/5*x

Move stuff around

95=1/6+4/5*x

Multiply/Combine like terms  

95=19/30*x

Multiply by 30/19 and then simplify

30/19*95=x

Solve for x

1/6*150=25

4/5*150=120

what is the answer to this
u(2u+5)-4(U+3)​

Answers

Answer:

its 2u^2-4u+5u-12

Step-by-step explanation:

The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $460 a week?

Answers

Answer:

0.74751

Step-by-step explanation:

Using the z score formula

z = (x-μ)/σ, where

x is the raw score = $460

μ is the population mean = $490

σ is the population standard deviation = $45

z = 460 - 490/45

z = -0.66667

Probability value from Z-Table:

P(x < 460) = 0.25249

P(x > 460) = 1 - P(x<460)

P(x > 460) = 1 - 0.25249

P(x > 460) = 0.74751

The probability that a randomly selected teacher earns more than $460 a week is 0.74751

Write an equation, then determine the number described in the following statement: Eight less than 3 times a number is twice the sum of x and 4.

A. 8 – 3x = 2x + 4; x = 2.4
B. 8 – 3x = 2(x + 4); x= 0
C. 3x – 8 = 2x + 4; x= 12
D. 3x – 8 = 2(x + 4); x = 16

Answers

Answer:

It is either b or d but I think it is b

Step-by-step explanation:

j
— + 7 = -12
-2

what is the answer​

Answers

j= 30

30/-2 + 7=12
——————

Answer:

j=38

Step-by-step explanation:

j

— + 7 = -12

-2

move the (7) to the other side by subtracting,

-12-7= 19

j

—  = -19

-2

continue by moving (-2) to the other side as well, do so by multiplying,

-19*-2= 38

therefore, j=38

Translate to algebra:

Tom has t dollars. He buys 5 packets of gum worth d dollars each. How much money does he have left?

Answers

Answer: t - 5d

Step-by-step explanation: Since you are buying 5 and they cost d dollars you would multiply 5 by d. Then since you have t dollars as a total you subtract 5d from t so you get t -5d.

Which number line shows the solution to the inequality 5x + 3> - 17

Answers

Answer:

C would be the correct number line

Step-by-step explanation:

5x ≥ - 17 - 3

5x ≥ -20

5x/5 ≥ -20/5

x ≥ 4

Byron is 2 years younger than Cindy. Eight
years ago, the sum of their ages was 14.
How old is Byron now?​

Answers

Step-by-step explanation:

let age of Byron be b yr old and Cindy be c yr old.

c = b + 2 --(1)

b - 8 + c - 8 = 14

b + c = 30 --(2)

sub (1) into (2):

2b = 28

b = 14

therefore Byron is 14 yr old now.

Topic: simultaneous eqns

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

10

Step-by-step explanation:

Byron is 2 yrs younger than Cindy. 8 years ago the sum of their ages was 14.

Byron is 2 years at that time. Definitely, Cindy is 12 years old so the sum of their ages was 14. Let us just add 8 years to Byron's age at that time so 2 + 8 = 10

P.S: This just based on my understanding of the problem.

Shiloh is splitting a quart of mac n cheese with seven friends. If all 8 of them share the quart equally, how many cups will each person get?
Can someone please help me

Answers

Answer:

0.125 quarts

Step-by-step explanation: One quart divided by 8

Can i be brainliest

I believe the answer is B can someone confirm

Answers

Answer:

Looks right, b is right

Step-by-step explanation:

The rest are false

Answer:

yes you are right

Step-by-step explanation:

B is correct

6 / 3/5 ITS FOR A 20 PIONT

Answers

Answer:

10

Step-by-step explanation:

I'm guessing you meant this, but tell me if I'm wrong and I'll fix it

6 / (3/5)

6 * 5/3

30/3

=10

Hope it helped!

Answer:

thanks

Step-by-step explanation:

Can somone help me on this please idk it

Answers

Hdhdhdhdhrhrbbrjfjfhf

Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

Answers

Answer:

A

Step-by-step explanation:

Because when you see X and Y, x multiplied by -6 is equal to y so if you check -84/-6, your correct answer should be 14 also A, hopefully this gave you the explanation you were looking for!!!!!!!!

Best Buy has a 15% mail in rebate for any purchase over $1,000.
Chloe purchased a new computer system for $1436.88. How much
will Chloe receive back from Best Buy?

Answers

She will receive $215.53 (rounded)

You multiply $1436.88 by 15% which is .15

In the table, please select the product (s), by name, that has the higher percentage of being ordered.

Answers

Answer: 1. peaches2. cherries3. oranges4. kiwi's5. bannanas6. apples7. mango'sStep-by-step explanation:

Mrs. Thompson wants to buy centerpieces to use at a party. It will cost $49 to have the centerpieces delivered plus $0.89 per centerpiece.

Part A
Let c be the number of centerpieces that Mrs. Thompson purchases. Choose the expression that shows the amount of money she will pay altogether for each centerpiece.
49c + 0.89
0.89 + c + 49
c(0.89 + 49)
49 + 0.89c
Part B
Evaluate the expression to find out how much Mrs. Thompson will pay if she orders 400 centerpieces.
Enter your answer in the box.

Answers

Answer:

a. 49 + 0.89c

b. $400

Step-by-step explanation:

Given

Delivery = $49

Cost per Centrepiece = $0.89

Solving (a): Expression that represents the equation.

From the question, we have that the number of centrepiece is represented by c

The expression can be gotten by the following formula.

Cost of Delivery + Cost per centrepiece * Number of centrepieces

This gives

49 + 0.89 * c

49 + 0.89c

Hence, the expression that represents the scenario is 49 + 0.89c

Solving (b): Payment for 400 centrepieces

To solve this, we simply substitute 400 for c in the expression in (a)

This gives:

Payment = 49 + 0.89 * 400

Payment = 49 + 356

Payment = 405

Hence, Mrs. Thompson will pay $405 for 400 centerpieces

If the mean of 20 prices is $10.39, and 5 of the items with a mean of $10.99 are sampled, what is the mean of the other 15 prices?

Answers

Answer:

$10.19

Step-by-step explanation:

We are told:

If the mean of 20 prices is $10.39

We have to find the total price

= Mean × number of prices

= 20 × $10.39

= $207.8

5 of the items with a mean of $10.99 are sampled

We would also find the total price

Mean × Number of samples

$10.99 × 5

= $54.95

what is the mean of the other 15 prices?

We find the total prices of the 15 prices

= Total 20 prices - Total of 5 prices

= $207.8 - $54.95

= $152.85

The mean of the other 15 prices

= $152.85/15

= $10.19

Describe the graph of y = negative x squared and compare it with the graph of y = x squared.

Answers

Answer:

The graph of the first equation opens downward while the graph of the second equation opens upward.  Both graphs are parabolas that pass through 0,0.

Answer:

The graph of the first equation opens downward while the graph of the second equation opens upward. Both graphs are parabolas that pass through 0,0.

Step-by-step explanation:

This was the possible answer that was given :)

Samantha has 146 ft of yarn. She wants to cut the yarn into equal pieces to give her 18 students. How much yarn will she give each student?

Answers

Answer

answers is 267 bits oof yard

Step-by-step explanation:

Answer:

146 divided into 18 would be 8.11111111111.. and so on.

Step-by-step explanation:

Hope that helps :)

A chess game comes with two kings, two queens, four rooks, four Bishops, four knights, and sixteen pawns (a total of 32 pieces). A game piece is randomly selected, replaced, then another is chosen. Find the probability of selecting a king or queen, then a pawn.

Answers

Answer:

3/32

Step-by-step explanation:

Plz mark as brainliest!!!

what would be the value of m?

Answers

Answer:

126°

Step-by-step explanation:

First you need to find the 3rd inside angle.

72+54+x=180

126+x=180

x=54

Once you have the 3rd inner angle, you can take 180 and subtract it from it so you would have 180-54 which is 126

Hello please this is kinda urgent so if you could answer really fast before 11:50 that would be great :-p-This is a school lesson on zearn no explenation needed just put the answer using /

Answers

Answer:

1  2/6 - 3/6

Step-by-step explanation:

This should be right if you are keeping the same amount but want to just change up the numbers!

A.4
B.3
C.6
D.5........ please help

Answers

Answer:

The answer is

A. 4

Step-by-step explanation:

7. The vertices of a triangle are P(-7, -1). Q(-7, -8), and R(3. -3). Name the vertices of the
image reflected across the line y=x.
OPX4,7). Q18. 7), R3.-3)
OP/4.-7). Q18. -7). R33)
OP(-7). QI-S.-7), R(-3.3)
OPT+7). Q1-8. 7). R(-3, -3)

Answers

After a reflection across line y=x the vertices of triangle P’Q’R’ are as follows
P’= (-1,-7)
Q’= (-8-7)
R’= (-3,3)

The vertices of the image triangle reflected across the line y = x are P'( -1, -7), Q'( -8, -7), and R'( -3, 3).

Therefore, the correct answer is:

P'( -1, -7), Q'( -8, -7), R'( -3, 3)

Here,

To find the image of the triangle vertices reflected across the line y = x, we need to swap the x-coordinates with the y-coordinates.

Original vertices of the triangle:

P(-7, -1)

Q(-7, -8)

R(3, -3)

Now, swap the x and y coordinates to get the reflected image:

Reflected image vertices:

P'( -1, -7)

Q'( -8, -7)

R'( -3, 3)

So, the vertices of the image triangle reflected across the line y = x are P'( -1, -7), Q'( -8, -7), and R'( -3, 3).

Therefore, the correct answer is:

P'( -1, -7), Q'( -8, -7), R'( -3, 3).

To learn more on reflection click:

brainly.com/question/15487308

#SPJ7

mrs Moore worked 42 hours and 35 minutes last week. How many hours and minutes did she average in each of the five days?

Answers

Answer:

6.08333333 hours

Step-by-step explanation:

((42 hours) + (35 minutes)) / 7 = 6.08333333 hours

hope this helps LOL :)

Answer:

511 min or 8 hrs and 52 min

Step-by-step explanation:

first you need a common subject so convert 42 hours into min, which is 2,520 then add the 35 which gives you 2,555 total.

then divide by 5 which gives you the adverage of 511 min

convert answer into hours which is about 8 hours and 52 min rounding up

Factor 12x^3-19x^2-13x-6 given that x-2 is the factor

Answers

Answer:

x-2(6x^2-4.4x-6.5-3) I believe.

Leslye wants to purchase a ticket to the dance. She will also purchase snack packs for herself and her friends. She is spending $3 for the ticket and knows that the snack packs will cost $5. Write
an inequality to show how many snack packs Leslye can purchase if she plans on spending less than $30.

Answers

Answer:

5 snack packs and 1 ticket.

Step-by-step explanation:

Do YoU kNoW dA wAe?

What is the answer to m / π = 7.3

Answers

Answer:

m=7.3π=22.93

Step-by-step explanation:

m=7.3π=22.93

(rounded to 2 decimal places)

Explanation:

Multiply both sides by π

mπ×π=7.3×π

m=7.3×π

m=7.3×3.14159....

m=22.9336....

For π, you can use your calculator value as I have done here, or you can use 3.14or3.142or227

You will get slightly different answers each time.

ANSWER ASAP PLEASE I WILL GIVE THE BRAINLIEST THINGY!!

Sparky ate 2 1/2 bones in the morning and 1 2/3 bones in the afternoon. How many bones did Sparky eat all together?

Answers

Answer:

4 1/3

Step-by-step explanation:

2 + 1=3. 1/2+2/3 = 1 1/3. 3 + 1 1/3 = 4 1/3

Hope this helps! Give Brainliest if it did!

d Question 5 5. Given A is between Y and Z and YA = 14x, AZ = 10x and YZ = 12x + 48, find AZ

Answers

Answer:

Step-by-step explanation:

If A is in between Y and Z, then;

YA+AZ = YZ

Given.

YA = 14x,

AZ = 10x and

YZ = 12x + 48

Substitute into the formula

14x+10x = 12x+48

Find x;

24x = 12x+48

24x-12x = 48

12x = 48

x = 48/12

x = 4

Get AZ

AZ = 10x

AZ =10(4)

AZ = 40

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