Question

Assume that when adults with smartphones are randomly​ selected, 64% use them in meetings or classes. If 88 adult smartphone users are randomly​ selected, find the probability that exactly 44 of them use their smartphones in meetings or classes. The probability is ____? Round to four decimal places as​ needed.

Answer 1

it is a binomial probability distribution, because there is fixed number of trials,  
only two outcomes are there, success and failure  
trails are independent of each other  
and probability is given by  

P(X=x) = C(n,x)*px*(1-p)(n-x)

  
where  
Sample size , n =    88
Probability of an event of interest, p =   0.64

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P ( X =    44   ) = C(88,44) * 0.64^44 * (1-0.64)^44 =            0.0023(answer)