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

Chardonnay Felix 2021-09-26 Answered
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 12 adult smartphone users are randomly selected, find the probability that fewer than 3 of them use their smartphones in meetings or classes.
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Expert Answer

hosentak
Answered 2021-09-27 Author has 100 answers

Step 1
Given:
Probability of using smartphone in meetings or classes =0.54
Number of selecting adult smartphone =12
We have to find probability of selecting fewer than 3 of them use their smartphones in meetings or classes.
Step 2
We can use binomial probability to find required probability.
Formula:
P(X=x)=n!x!(nx)!×px×(1p)nx
Step 3
Therefore,
P(X<3)=P(X=2)+P(X=1)
P(X<3)=
P(X=2)=2!2!(122)!}×0.542×(10.54)122
+P(X=1)=1!1!(121)!×0.541×(10.54)121
P(X<3)=0.0082+0.0013=0.0094

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