Born on the 4th of July For the following questions, ignore leap years.

a. For classes of 30 students, find the mean and standard deviation for the number born on the 4th of July. Express results using seven decimal places.

b. For a class of 30 students, would 2 be an unusually high number who were born on the 4th of July?

Answer :

Step 1 :

Given, n = 30,The probability that someone is born on the 4th of july = 1/365

The procedure yields a binomial distribution.

Where, mean = = np = 30(1/365)

= 0.0821918

Variance = npq

= (30)(1/365)(364/365)

= 0.0819665

Standard deviation = =

= 0.2862980

b) We have to find the minimum usual value and maximum usual value

i.e...