Answer to Question #336412 in Statistics and Probability for Hee

Question #336412

What is the probability that the shelf life of the




battery is between 500 and 550 days?





1
Expert's answer
2022-05-03T03:54:03-0400

A certain type of battery has a mean shelf life of 600 days with a standard deviation of 28 days: XN(600,282).X\sim N(600,28^2).


P(500<X<550)=P(Z<55060028)P(500<X<550)=P(Z<\dfrac{550-600}{28})

P(Z50060028)-P(Z\le\dfrac{500-600}{28})

P(Z<1.7857)P(Z3.5714)\approx P(Z<-1.7857)-P(Z\le-3.5714)

0.037070.00018\approx0.03707-0.00018

0.0369\approx0.0369


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