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The proportion of students who own a cell phone on college campuses across the c

ID: 3180441 • Letter: T

Question

The proportion of students who own a cell phone on college campuses across the country has increased tremendously over the past few years. It is estimated that approximately 90% of students now own a cell phone. Fifteen students are to be selected at random from a large university. Assume that the proportion of students who own a cell phone at this university is the same as nationwide. Let X = the number of students in the sample of 15 who own a cell phone. What is the appropriate distribution for X?

X is B(15, 0.9). X is N(13.5, 1.16). X is B(15, 13.5). X is N(15, 0.9).

Explanation / Answer

ans=

X~Binomial ( n = 15, p = . 90 )

• 15 trails ( a set number of trails) • trails are independent because the sample is randomly selected • 2 outcomes – cell phone or no cell phone • p = 0.90