Question

A: Given that the length an athlete throws a hammer is a normal random variable with mean 50 feet and standard deviation 5 feet, what is the probability he throws it between 50 feet and 60 feet?

B: The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30 inches and a standard deviation of 0.5 inches. What is the probability that a sheet selected at random will be less than 29 inches long?

Answer 1

A) Given that, mean = 50 feet and

standard deviation = 5 feet

We want to find, P(50 < X < 60)

Therefore, the probability he throws it between 50 feet and 60 feet is 0.4772

B) Given that, mean = 30 inches and

standard deviation = 0.5 inches

We want to find, P(X < 29

Therefore, the probability that a sheet selected at random will be less than 29 inches long is 0.0228