80 Where will you get your next pet? An Associated Press/

Petside.com poll revealed that half of all pet owners would get their next dog or cat from a shelter ( USAToday, May 12, 2010). Consider a random sample of 500 pet owners and define x as the number of pet owners who would acquire their next dog or cat from a shelter. X is a binomial random variable.

a. Compute m and s for the probability distribution of x .

b. Compute the z-score for the value x = 240 .

c. Compute the z-score for the value x = 270 .

d. Use the technique of this section to approximate P(240 6 x 6 270)