Suppose a player's true batting average is Normal, with mu = .272, and standard deviation, sigma = 0.02. What is the probability that this player will have a batting average GREATER THAN 0.300 on the basis of luck alone?  (Round your answer to three decimal places, ex: 0.123.)

On average, indoor cats live to 13 years old with a standard deviation of 2.3 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible. a. What is the distribution of X? X NO b. Find the probability that an indoor cat dies when it is between 10.2 and 11.8 years old. c. The middle 40% of indoor cats' age of death lies between what two numbers? Low: years High: years

Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be between 240 and 260 lbs? Round your answer to three decimal places, eg 0.192.

A student's commute to school is normally distributed with a mean of 29 min and a standard deviation of 4 min. What is the probability that the student gets to school in 21 to 29 min? (Round your answer to one decimal place.)