A. For classes of 71 students, find the mean and standard deviation for the numb

Question

A. For classes of 71 students, find the mean and standard deviation for the number born on the 4th of July. Ignore leap years. B. For a class of 71 students, would two be an unusually high number who were born on the 4th of July? A. For classes of 71 students, find the mean and standard deviation for the number born on the 4th of July. Ignore leap years. B. For a class of 71 students, would two be an unusually high number who were born on the 4th of July? B. For a class of 71 students, would two be an unusually high number who were born on the 4th of July?

Explanation / Answer

a) as probability of being born on 4th July p=1/365

threfore mean number born on the 4th of July in class of 71 students =np =71*(1/365)=0.1945

and std deviation =(np(1-p))1/2 =(71*(1/365)*(364/365))1/2 =0.4404

b)

as 2 falls (2-0.1945)/0.4404 =4.1 std deviation away from mean ; therefore it is an unusually high number for  born on the 4th of July out of 71.

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