Assume that when adults with smartphones are randomly selected, 57% use them in meetings or classes. If 30 adult smartphone users are randomly selected, find the probability that exactly 20 of them use their smartphones in meetings or classes
Solution
Given that ,
p = 57% = 0.57
1 - p = 1 - 0.57 = 0.43
n = 30
x = 20
Using binomial probability formula ,
P(X = x) = ((n! / x! (n - x)!) * px * (1 - p)n - x
P(X = 20) = ((30! / 20! (30 - 20)!) * 0.5720 * (0.43)30 - 20
= ((30! / 20! (10)!) * 0.57220 * (0.43)10
= 0.0851
Probability = 0.0851
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