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The lengths of home runs hit by players for the Mets have approximately a normal distribution...

The lengths of home runs hit by players for the Mets have approximately a normal distribution with μ = 399 feet and a standard deviation of σ=31.16 feet. Suppose that we randomly select 81 home runs hit by players of the Mets. Let X be the random variable representing the mean length of home runs in feet and let Xtot be the random variable representing the sum of the lengths of the home runs in feet for the 81 selected home runs.

g) What is the probability that 390 < X < 400?  

h) What is the probability that Xtot > 32000?  

Math   Statistics-And-Probability   
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