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The life expectancy of a randomly selected MTB chain (measured in the number of kilometers for which it is used) is 3250 kilometers, with a standard deviation of 241 kilometers. Assume that the life expectancy is normally distributed. a. (2 pt) What is the probability that a MTB chain will last longer than 3500 kilometers? b. (2 pt) What is the probability that the MTB chain's life expectancy will lie between 2700 and 3000 kilometers? c. (3 pt) How many kilometers would a MTB chain need to be used in order to have lasted longer than

`95%`

of all bike chains? d. (3 pt) What is the probability that a random sample of 25 bike chains have a mean life expectancy longer than 3500 kilometers?