Question

In: Math

Assume that when adults with smartphones are randomly​ selected, 49​% use them in meetings or classes....

Assume that when adults with smartphones are randomly​ selected, 49​% use them in meetings or classes. If 15 adult smartphone users are randomly​ selected, find the probability that exactly 11 of them use their smartphones in meetings or classes.

Solutions

Expert Solution

According to the given question , the adults with smartphones are randomly​ selected, 49​% use them in meetings or classes. Therefore the probability of the adults smartphones in meetings or classes is

.

It is follow binomial distribution , where is defined as  the adults smartphones in meetings or classes and the probability mass function of binomial distribution (discreate distribution) is defined as:

where

If adult smartphone users are randomly​ selected, then the probability that exactly of them use their smartphones in meetings or classes is determined as:

  

Therefore  if 15 adult smartphone users are randomly​ selected, then the probability that exactly 11 of them use their smartphones in meetings or classes is


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