Assume that when adults with smartphones are randomly selected, 45% use them in meetings or classes. If 9 adult smartphone users are randomly selected, find the probability that exactly 6 of them use their smartphones in meetings or classes.
Solution
Given that ,
p = 0.45
1 - p = 1 - 0.45 = 0.55
n = 9
x = 6
Using binomial probability formula ,
P(X = x) = ((n! / x! (n - x)!) * px * (1 - p)n - x
P(X = 6) = ((9! / 6! (9 - 6)!) * 0.456 * (0.55)9 - 6
= ((9! / 6! (3)!) * 0.456 * (0.55)3
= 0.1160
Probability = 0.1160
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