Answers College Prep Math B - IC26 Binomial Random VariablesQuestion 3

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Binomial Random Variables

Question 3 • College Prep Math B - IC26

A certain airline has a 90% probability that its flights are on time. Fifteen of this airline’s flights leave the local airport each day. Let X represent the number of flights that are on time each day. Assuming flights are on time independently of one another, what is the shape of the probability histogram of X?

Answer

A

skewed left

B

skewed right

C

approximately uniform

D

approximately symmetric

Explanation

X has a binomial distribution with 15 flights and probability 0.90 of being on time. Its mean is 15(0.90) = 13.5, so most outcomes are near the high end, with a tail stretching toward smaller numbers of on-time flights. The histogram is therefore skewed left.

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