Question

Suppose that the weight of open boxes of cereal in a home with children is uniformly distributed from one to three pounds with a mean of two pounds and standard deviation of 0.5774. We randomly survey 64 homes with children.

• Part (a)

  In words, define the random variable X.

  the weight, in pounds, of the children in the homethe weight, in pounds, of open boxes of cereal    the number of open boxes of cereal in the homethe number of children in the home

• Part (b)

  Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.)
  X ~  ? G N P U B   ,  

• Part (c)

  In words, define the random variable ΣX.

  the total weight of all children in the homethe total number of children in the 64 homes    the total number of open boxes of cereal in the 64 homesthe total weight of all open boxes of cereal in 64 homes with children

• Part (d)

  Give the distribution of ΣX. (Round your answers to two decimal places.)
  ΣX ~  ? G N P U B   ,  

• Part (e)

  Find the probability that the total weight of open boxes is less than 132 pounds. (Round your answer to four decimal places.)

• Part (f)

  Find the 55^th percentile for the total weight of open boxes of cereal. (Round your answer to two decimal places.)
  lb

Answer 1