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Let Xrepresent the score when a fair six-sided die is rolled. For this random variable,X=3.5 and X=1.71. If the die is rolled 100times, what is the approximate probability that the total score is at least375?

Short Answer

Expert verified

Result is:

0.0721

Step by step solution

01

Given information

we have been given that

X=3.5

X=1.71

n=Samplesize=100

02

Simplify

The mean score is the total score divided by the sample

x=Totalscoren

The Z score is the value decreased by the mean

z=x-/n=3.75-3.51.71/1001.47

Row is starting with 1.4and column is starting with 0.06 of the table.

P(X3.75)=P(Z>1.46)=1-P(Z<1.46)=1-0.9279=0.0721

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