Q1. Identify whether the following variable meets the requirements of a Binomial random variable. If it does not meet the requirements, specify which requirement(s) are not met.

A local non-profit is holding a lottery to raise funds.The probability of winning the lottery is fixed at 5%.A person plays the lottery until they win.X = the number of times they played under winning.

a. Yes, it is Binomial.

b. It is not Binomial.The number of trials, n, is not fixed.

c. It is not Binomial.The probability of success, p, is not fixed.

d. It is not Binomial.The trials are not independent.

Q2. QUESTION 4

Identify whether the following variable meets the requirements of a Binomialrandom variable. If it does not meet the requirements, specify which requirement(s) are not met.

You are playing your friend in a series of ten disc gold games.In each game, you either win or you don't. As the games go on, you get better, so your probability of winning increases for each game. X = the number of games out of five that you win?

a. Yes, it is Binomial.

b. It is not Binomial.The number of trials, n, is not fixed.

c. It is not Binomial.The probability of success, p, is not fixed.

d. It is not Binomial.The trials are not independent.

Q3. A recent report states that 82% of college students use Instagram for holiday gift inspiration*.A random sample of 25 college students is taken, and whether they use Instagram for holiday gift inspiration is recorded.Let X be the number of college students who do use Instagram in such a way.Assume X has a Binomial distribution.

Find the probability that exactly 20 college students use Instagram in such a way?

a. 0.7125

b. 0.3171

c. 0.5228

d. 0.000

Q4.

A recent report states that 82% of college students use Instagram for holiday gift inspiration*.A random sample of 25 college students is taken, and whether they use Instagram for holiday gift inspiration is recorded.Let X be the number of college students who do use Instagram in such a way.Assume X has a Binomial distribution.

Find the expected number of students that use Instagram in such a way?

a. 25

b. 0.82

c. 30

d. 20.5

Q5. The following table shows the number of apps used per day from a sample of people, and the corresponding probability.

Apps UsedProbability

4 0.01

5 0.07

6 0.05

7 0.13

8 0.15

9 0.21

10

11 0.11

12 0.05

13 0.02

14 0.02

Find the missing value?

a. Impossible to tell

b. 0.18

c. 1.0

d. 0.11

Q6.

Below is a probability distribution of the number of apps used by people each day, using a different sample.

Apps UsedProbability

4 0.02

5 0.07

6 0.09

7 0.11

8 0.14

9 0.18

10 0.17

11 0.08

12 0.03

13 0.01

14 0.1

What is the expected number of apps that people use each day?

a. Impossible to tell

b. 7

c. 14.3

d. 8.95