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

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 probability that all students in a simple random sample of 15 students own a cell phone?

Explanation / Answer

Given,

P(Having cell phone) = 0.90

The event of having a cell phone with each student is independent of others. So,

For n = 15,

P(All 15 has cell phones)

= (0.9)15

= 0.206

Option a is correct.

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