Assume that when adults with smartphones are randomly selected, 51% use them in meetings or classes. If 12 adult smartphone users are randomly selected, find the probability that fewer than 4 of them use their smartphones in meetings or classes The probability is (Type an integer or decimal rounded to four decimal places as needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Assume that when adults with smartphones are randomly selected, 51% use them in meetings or classes. If 12 adult smartphone users are randomly selected, find the probability that fewer than 4 of them use their smartphones in meetings or
classes.
The probability is N
(Type an integer or decimal rounded to four decimal places as needed.)
Transcribed Image Text:Assume that when adults with smartphones are randomly selected, 51% use them in meetings or classes. If 12 adult smartphone users are randomly selected, find the probability that fewer than 4 of them use their smartphones in meetings or classes. The probability is N (Type an integer or decimal rounded to four decimal places as needed.)
Expert Solution
Step 1

Givensample size(n)=12p=0.51Let "x" be the adults uses their smartphones in meetings or classesx~Binomial(n=12,p=0.51)P(X=x)=(nx)×px×(1-p)n-x ; x=0,1,...,n

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