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 14RE
To determine

To find: the standard deviation and mean of the number of spots might move.

Expert Solution & Answer
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Answer to Problem 14RE

Mean = 35.83

Standard Deviation = 6.31

Explanation of Solution

Formula used:

  E(Z)=E(XY)=E(X)E(Y)Var(Z)=var(XY)Var(Z)=var(X+Y)=var(X)+var(Y)SD(Z)=var(Z)

Calculation:

Suppose Z is the move when in "Penalty Zone" it land.

Z = X −Y

Mean of Z is

  E(Z)=E(XY)=E(X)E(Y)=37.5106=35.83

Variance:

  Var(Z)=var(XY)Var(Z)=var(X+Y)=var(X)+var(Y)=37.5+2.33=39.83

Standard deviation:

  SD(Z)=var(Z)=39.83=6.31

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