A random sample of n people selected from a large population will be asked whether they have read a novel in the past year. Let the random variable R represent the number of people from the sample who answer yes. The variance of random variable R is 6. Assume the responses are independent of each other. If the proportion of people from the population who read a novel in the past year is 0.40, which of the following is the best interpretation of random variable R ?a. binomial variable with 15 independent trialsb. A binomial variable with 25 independent trialsc. A variable that is not binomial with 25 independent trialsd. A binomial variable with 40 independent trialse. A variable that is not binomial with 40 independent trials

Answers

Answer 1

Answer:

Answer:

b. A binomial variable with 25 independent trials

Step-by-step explanation:

The conducted experiment is binomial experiment because outcome can be divided into success or failure. The success would be the people who read novel in the past year and also responses are independent of each other. We have to find the number of trials n in the given problem.

we are given that variance of R=6 and p=probability of success=0.4.

We know that variance of binomial distribution is

Variance=npq

where q=1-p=1-0.4=0.6.

By putting the values in variance formula, we can get the value of n.

6=n*0.4*0.6

6=0.24*n

n=6/0.24

n=25

Hence, random variable R is a binomial variable with 25 independent trials.

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The ratio of green apples to red apples at a grocery store is 2 to 3. There are 78 red apples at the grocery store. What is the total number of apples at the store?

Answers

Answer:

Step-by-step explanation:

78 divided by 3 is 26

26 times 2 is 52

What is the equation of the line? Y= 1/2x + 2

Y= 2x + 2

Y= 2x - 4

Y = 1/2x - 4

Answers

Answer:

y=1/2x+2

Step-by-step explanation:

ABCD~LMNO Find the value of MN if AB=12cm, BC=9.6cm and LM= 16cmA) 13cm
B) 7.2cm
C) 12.8cm
D) 13.6cm

Answers

The value of MN is 12.8 cm. The correct option is C

To solve this problem

Corresponding sides are proportional in figures that are comparable to one another (in this case, triangles). That indicates that the corresponding sides' ratios are equal.

Triangles ABCD and LMNO are similar, thus we can establish the percentage based on the matching sides:

AB/BC = LM/MN

Substitute the given values:

12/9.6 = 16/MN

Now, solve for MN:

12 * MN = 9.6 * 16

MN = (9.6 * 16) / 12

MN = 12.8

So, the value of MN is 12.8 cm.

Learn more about proportional here : brainly.com/question/1496357

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The answer is C

Explaining:

9s − 5 s = 8 knnnkjbkbbhjhghuj

Answers

9*8=72

72-5=67

The final answer is 67.

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An image has coordinates: A (-2, 4), B (4, 6), C (3, -4). Given a scale factor of 3, what would be the new coordinates?Group of answer choices

A' (6, -12), B' (-12, 18), C' (9, -12)

A' (1/2, 1), B' (3/2, 2), C' (3, 9/2)

A' (-6, 12), B' (-12, -18), C' (9, -12)

A' (-6, 12), B' (12, 18), C' (9, -12)

Answers

A’(-6,12) B’(12,18) C’(9,-12) because all numbers must be multiplied by your scale factor in this case 3

Will give brainliest <3! please help! no fake answers please

Answers

Answer:

input 1 output 1 ×7 =7

input 2 output 2 ×7 =14

input 3 output 3 ×7=21

input 4 output 4×7=28

Answers are 7, 14, 21 and 28

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Every morning Jack flips a fair coin ten times. He does this for anentire year. LetXbe the number of days when all the flips come out the same way(all heads or all tails).(a) Give the exact expression for the probabilityP(X >1).(b) Is it appropriate to approximateXby a Poisson distribution