SOLUTION: Assume that when adults with smartphones are randomly​ selected, 46​% use them in meetings or classes. If 6 adult smartphone users are randomly​ selected, find the probabil

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Question 1150377: Assume that when adults with smartphones are randomly​ selected, 46​%
use them in meetings or classes. If 6 adult smartphone users are randomly​ selected, find the probability that exactly 2 of them use their smartphones in meetings or classes.
Answer by ikleyn(52886) About Me  (Show Source):
You can put this solution on YOUR website!
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Use the binomial probability distribution to solve this problem.



Probability (P) ( k successes in n trials) = C%5Bn%5D%5Ek+%2A+p%5Ek+%2A+%281-p%29%5E%28n-k%29, where C%5Bn%5D%5Ek = n%21+%2F+%28k%21+%2A+%28n-k%29%21%29.


For this problem n = 6, k = 2, p = 0.46.


P ( 2 use their smart phones out of 6 users ) = C%5B6%5D%5E2+%2A+%280.46%29%5E2+%2A+%281+-+0.46%29%5E%286-2%29 = 0.2699 = 26.99%.    ANSWER

Solved.