SOLUTION: Assume that when adults with smartphones are randomly​ selected, 41​% use them in meetings or classes. If 30 adult smartphone users are randomly​ selected, find t

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Question 1104096: Assume that when adults with smartphones are randomly​ selected, 41​% use them in meetings or classes. If 30 adult smartphone users are randomly​ selected, find the probability that exactly 21 of them use their smartphones in meetings or classes.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
We use the binomial probability distribution to solve this problem
:
Probability (P) ( k successes in n trials) = nCk * p^k * (1-p)^(n-k), where nCk = n! / (k! * (n-k)!)
:
For this problem n = 30, k = 21, p = 0.41
:
P ( 21 use their smart phones out of 30 users ) = 30C21 * (0.41)^21 * (1 - 0.41)^(30-21)
:
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P ( 21 use their smart phones out of 30 users ) = 0.0009
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