Question #331220

A study of a specific grade of steel suggests that yield strength (ksi) is normally distributed with


and mu = 42 and sigma = 4.3 a. (10 points) What is the probability that yield strength is at most 40? b. (5 points) What is the probability that yield strength is greater than 50?


1
Expert's answer
2022-04-21T05:24:46-0400

a. P(X40)=P(X<40)=P(Z<40424.3)=P(Z<0.47)=0.3192.P(X\le40)=P(X<40)=P(Z<\frac{40-42}{4.3})=P(Z<-0.47)=0.3192.


b. P(X>50)=P(Z>50424.3)=P(Z>1.86)=1P(Z<1.86)=0.0314.P(X>50)=P(Z>\frac{50-42}{4.3})=P(Z>1.86)=1-P(Z<1.86)=0.0314.


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