11
AssignmentMultiple Choice

Binomial Random Variables

Question 11 • College Prep Math B - IC26

A spinner has two colored regions — purple and orange — and is divided in such a way so that the probability that the spinner lands on purple is 0.9. Suppose we spin the spinner 12 times and let X = the number of times it lands in the purple region.What is the shape of the probability histogram of X?

Answer
A
Approximately symmetric
B
Approximately uniform
C
Skewed right
D
Skewed left

Explanation

X follows a binomial distribution with 12 spins and probability 0.9 of landing on purple. Most results will be near 11 or 12 purple landings, while fewer results stretch down toward 0, creating a longer tail on the left. Therefore, the histogram is skewed left.

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