while audrey was sitting on a bench in the mall, 30 men with a beard and 30 men without a beard walked by…

while audrey was sitting on a bench in the mall, 30 men with a beard and 30 men without a beard walked by. considering this data, how many of the next 76 men who walk by should audrey expect to have a beard? men with a beard

while audrey was sitting on a bench in the mall, 30 men with a beard and 30 men without a beard walked by. considering this data, how many of the next 76 men who walk by should audrey expect to have a beard? men with a beard

Answer

Answer:

38

Explanation:

Step1: Calculate the proportion of bearded men

The total number of men observed initially is $30 + 30=60$. The number of bearded men is 30. So the proportion of bearded men $p=\frac{30}{60}=\frac{1}{2}$.

Step2: Calculate the expected number

We expect the same proportion to hold for the next 76 men. So the expected number of bearded men $E = 76\times\frac{1}{2}=38$.