Chapter 7, Problem 74H

Suppose that the weight of open boxes of cereal in a borne with children Is uniformly distributed from two to six pounds with a mean of four pounds and standard deviation of 1.1537. We randomly survey 64 homes with children.

a. In words,X ___________

b. The distribution is _______

c. In words, ${\displaystyle \sum X}=\_\_\_\_\_\_\_\_\_\_$

d. ${\displaystyle \sum X}~\_\_\_\_\_\_(\_\_\_\_,\_\_\_\_)$

e. Find the probability that the total weight of open boxes Is less than 250 pounds.

f. Find the 35th percentile for the total weight of open boxes of cereal.