Stats: Modeling the World Nasta Edition Grades 9-12
Stats: Modeling the World Nasta Edition Grades 9-12
3rd Edition
ISBN: 9780131359581
Author: David E. Bock, Paul F. Velleman, Richard D. De Veaux
Publisher: PEARSON
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Chapter PIV, Problem 30RE
To determine

To find: melons chosen randomly at every store can charge for the mean and standard deviation of the difference in price.

Expert Solution & Answer
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Explanation of Solution

Formula used:

  E(D)=E(32X25Y)var(D)=var(32X25Y)SD(D)=var(D)

Calculation:

Let X be the weight of the first store's watermelon.

Y is the weight of the second store's watermelon.

D is the difference in the amount that was paid.

  D=32X25Y

The mean of difference is

  E(D)=E(32X25Y)=32E(X)25E(Y)=32(22)25(18)=704450=254cents

We first find the variable.

  var(D)=var(32X25Y)=322var(X)+252var(Y)=322(2.5)2+25(2)2=6400+2500=8900

Standard deviation of difference is

  SD(D)=var(D)=8900=94.34

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