Oluwadamilola Ameobi

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I have a statistics class of 20 students, of whom 12 are female. I randomly select 3 students to make a group presentation to the class. What is the probability of the following occurring? a. All of the students in the group are male. b. One of the students in the group is male. c. Two of the students in the group are male. d. All three students in the group are female. e. Calculate the mean and standard deviation for the distribution which defines selecting a male as a success. f. Verify these results with Excel.

          I have a statistics class of 20 students, of whom 12 are female. I randomly select 3 students to make a group presentation to the class. What is the probability of the following occurring?
a. All of the students in the group are male.
b. One of the students in the group is male.
c. Two of the students in the group are male.
d. All three students in the group are female.
e. Calculate the mean and standard deviation for the distribution which defines selecting a male as a success.
f. Verify these results with Excel.

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Added by Lourdes S.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Oluwadamilola Ameobi

09/11/2023

Step 1

This can be calculated using combinations, denoted as C(n, k) or "n choose k", which is equal to n! / (k!(n-k)!), where n is the total number of items and k is the number of items to choose. Total combinations = C(20, 3) = 20! / (3!(20-3)!) = 1140 a. All of the Show more…

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I have a statistics class of 20 students, of whom 12 are female. I randomly select 3 students to make a group presentation to the class. What is the probability of the following occurring? a. All of the students in the group are male. b. One of the students in the group is male. c. Two of the students in the group are male. d. All three students in the group are female. e. Calculate the mean and standard deviation for the distribution which defines selecting a male as a success. f. Verify these results with Excel.

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