Question 5

A group of 4 persons must be selected from a class of 40 students. In how many ways can it be selected?

Question 5 options:

91,390

2,193,360

160

10

Question 6

In a game, you have 1/33 probability of winning $121.00 and a 32/33 probability of loosing $7.00. What is your expected value?

Question 6 options:

-$6.79

$3.67

$10.45

-$3.12

Question 7

The brand name of a certain chain of coffee shops has a 53% recognition rate in the town of Coffeeton. (In other words, a person selected at random knows about the chain with a probability of 0.53.) An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. He selects a random sample of 7 Coffeeton residents.

a) Find the probability that exactly 4 of the 7 Coffeeton residents recognize the brand name.

Question 7 options:

0.00819

0.287

0.0789

0.254

Question 8

The brand name of a certain chain of coffee shops has a 53% recognition rate in the town of Coffeeton. (In other words, a person selected at random knows about the chain with a probability of 0,53.) An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. He selects a random sample of 7 Coffeeton residents. LetXbe the number of people (out of seven above) who will recognize the chain.

b) Find the mean and standard deviation ofX.

Question 8 options:

3, 1

Approximately, 3.71, 1.32.

Approximately, 4.04, 1.32.

Approximately, 2.71, 1.05