1- Consider the following table.

Defects in batch Probability

0 0.05

1 0.18

2 0.29

3 0.24

4 0.13

5 0.11

Find the variance of this variable.

A-2.58

B-2.55

C-1.35

D-1.83

2- ----Consider the following table.

Defects in batch Probability

2 0.35

3 0.23

4 0.20

5 0.09

6 0.07

7 0.06

Find the standard deviation of this variable.

A-2.27

B-1.51

C-3.48

D-4.50

3--- The standard deviation of the number of video game A's outcomes is 1.8940, while the standard deviation of the number of video game B's outcomes is 1.6179. Which game would you be likely to choose if you wanted players to have the most choice and why?

Group of answer choices

Game A, as the standard deviation is higher and, thus offers more choices in outcomes

Game B, as the standard deviation is lower and, thus offers more choices in outcomes

Game A, as the standard deviation is lower and, thus offers fewer choices in outcomes

Game B, as the standard deviation is higher and, thus offers more choices in outcomes

4----Ten frequent gamers are randomly selected. The random variable represents the number of frequent gamers who play video games on their smartphones. For this to be a binomial experiment, what assumption needs to be made?

A-The probability of being a gamer that plays video games on their smartphones is the same for all gamers

B-The probability of being a gamer and is selected is the same for all gamers

C-All ten selected gamers are the same age

D-The probability of being selected is the same for all ten gamers

5---A survey found that 31% of all teens buy soda (pop) at least once each week. Seven teens are randomly selected. The random variable represents the number of teens who buy soda (pop) at least once each week. What is the value of n?

Group of answer choices

(A) x, the counter

(B) 0.07

(C) 7

(D) 0.31

6--Sixty-eight percent of US adults have little confidence in their cars. You randomly select eleven US adults. Find the probability that the number of US adults who have little confidence in their cars is (1) exactly eight and then find the probability that it is (2) more than 6.

A)(1) 0.247 (2) 0.744

B)(1) 0.753 (2) 0.744

C)(1) 0.753 (2) 0.256

D)(1) 0.247 (2) 0.256