Subject: Maths, asked on 23/3/22

Subject: Maths, asked on 23/3/22

Subject: Maths, asked on 23/3/22

Subject: Maths, asked on 1/3/22

Suppose that a technology task force is being formed to study technology awareness among instructors. Assume that ten people will be randomly chosen to be on the committee from a group of 28 volunteers, 20 who are technically proficient and eight who are not. We are interested in the number on the committee who are not technically proficient.


a. Find the probability that at least five on the committee are not technically proficient. (Answer in 3 decimal places)

Answer: Blank 1



b. Find the probability that at most three on the committee are not technically proficient. (Answer in 3 decimal places)

Answer: Blank 2

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Question 9

10 Points

A bridge hand is defined as 13 cards selected at random and without replacement from a deck of 52 cards.


a. What is the probability of being dealt a hand that does not contain a heart? (Answer in 4 decimal places)

Answer: Blank 1



b. Find the mean. (Answer in 2 decimal places)

Answer: Blank 2



c. Find the standard deviation of X. (Answer in 3 decimal places)

Answer: Blank 3

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Question 10

20 Points

According to The World Bank, only 9% of the population of Uganda had access to electricity as of 2009. Suppose we randomly sample 150 people in Uganda. Let X be the number of people who have access to electricity.


a. Calculate the mean of X. (Answer in 1 decimal place)

Answer: Blank 1



a. Calculate the standard deviation of X. (Answer in 1 decimal place)

Answer: Blank 2


b. Find the probability that 15 people in the sample have access to electricity. (Answer in 4 decimal places)

Answer: Blank 3



c. Find the probability that at most ten people in the sample have access to electricity. (Answer in 4 decimal places)

Answer: Blank 4

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