The proportion of students who own a cell phone on college campuses across the c
ID: 3295873 • 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.
The probability distribution of random variable, X, is defined as follows:
11.85 ± 0.0494
11.85 ± 0.0588
11.85 ± 0.0609
11.85 ± 0.0784
Explanation / Answer
Ans:
Probability distribution of X is Binomial distribution.
n=15
p=0.9
Mean=np=15*0.9 =13.5
standard deviation=sqrt(np(1-p))=sqrt(13.5*0.1)=1.16
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