Assume that when adults with smartphones are randomly selected, 54%

Wierzycaz

Wierzycaz

Answered question

2021-09-23

Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an LG Smartphone survey).
If 20 adult smartphone users are randomly selected, find the probability that exactly 15 of them use their smartphones in meetings or classes.

Answer & Explanation

hosentak

hosentak

Skilled2021-09-24Added 100 answers

Step 1
According to the provided information,
p=0.54%
=0.54
n=20
q=(1p)
=0.46
Definition binomial probability
P(X=x)=n!x!(nx)!pxqnx
Step 2
The probability that exactly 15 out of 20 use their smartphones in meetings or classes can be calculated as:
Evaluate the definition of binomial probability at x=15:
P(X=15)=20!15!(2015)!(0.54)15(0.46)2015
=0.0309
The probability that exactly 15 of them use their smartphones in meetings or classes is 0.0309.

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