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Answer the following questions showing all work. Full credit will not be given t

ID: 3242044 • Letter: A

Question

Answer the following questions showing all work. Full credit will not be given to answers without work shown. If you use Minitab Express include the appropriate output (copy + paste) along with an explanation. Output without explanation will not receive full credit. Round all answers to 3 decimal places. If you have any questions, post them to the course discussion board.

H. Make a contingency table for the biological sex and alcohol preference variables. Copy + paste it here.

Rows: Preferred Beverage     Columns: Biological Sex

Female

Male

All

Beer

25

62

87

Water

184

124

308

Wine

74

31

105

Missing

1

0

All

283

217

500

Cell Contents:

Count

I. Given that a randomly selected student is a male, what is the probability that he prefers beer?

J. Given that a randomly selected student is a female, what is the probability that she prefers beer?

K. Compute P (FemaleC wine).

Rows: Preferred Beverage     Columns: Biological Sex

Female

Male

All

Beer

25

62

87

Water

184

124

308

Wine

74

31

105

Missing

1

0

All

283

217

500

Cell Contents:

Count

Explanation / Answer

i) P(beer | male) = P(beer and male) / P(male)

                          = [62/500] / [217/500]

                          = 62/217

                          = 0.2857

j) P(beer | female) = P(beer and female) / P(female)

                          = [25/500] / [283/500]

                          = 25/283

                          = 0.0883

k) P(femalec | wine) = P(male | wine)

                                = P(male and wine) / P(wine)

                                = [31/500] / [105/500]

                                = 31/105

                                = 0.2952

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