Question

According to a general rule, the binomial probability distribution has a bell shape when

n*p*(1-p) = or > 10.

Answer the following.

(a)  For a binomial experiment with a probability of success of .60, what is the smallest sample size “n”

needed so that the binomial distribution has a bell shape? Round to the nearest whole number.

(b)  Using the value for the sample size you found above, what is the mean and standard deviation of the binomial distribution.

(c)  Given the mean and standard deviation you found, would a value of 35 for the random variable “x” be unusual? Why?

Answer 1

Binomial normal distribution calculations.

(a) sample size 42

(b) Mean = 25.2  

Standard deviation = 3.175

(c) random variable 35 is unusual.