SOLUTION: Assume that when adults with smartphones are randomly​ selected, 62​% use them in meetings or classes. If 5 adult smartphone users are randomly​ selected, find the probabilit

Algebra ->  Probability-and-statistics -> SOLUTION: Assume that when adults with smartphones are randomly​ selected, 62​% use them in meetings or classes. If 5 adult smartphone users are randomly​ selected, find the probabilit      Log On


   

Question 1152715: Assume that when adults with smartphones are randomly​ selected, 62​% use them in meetings or classes. If 5 adult smartphone users are randomly​ selected, find the probability that exactly 3 of them use their smartphones in meetings or classes.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

p = probability of success
p = probability individual uses smartphone in meetings or classes
p = 0.62
n = sample size
n = 5

This is a binomial problem as there are two outcomes (either the person uses the phone in meetings/classes or they don't) and each event is independent.

Binomial PDF formula
B%28x%29+=+%28%28n%21%29%2F%28x%21%28n-x%29%21%29%29%2A%28p%29%5Ex%2A%281-p%29%5E%28n-x%29

Plug in n = 5 and p = 0.62




Now plug in x = 3 to find the binomial probability that exactly 3 adults use their phones in meetings or classes.




B%283%29+=+10%2A%280.62%29%5E3%2A%280.38%29%5E2

B%283%29+=+10%2A0.238328%2A0.1444

B%283%29+=+0.344+145+632

The answer is 0.344145632
Round this however your teacher instructs.