statistics

statistics

The length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute.

a)    Find the probability that a randomly selected college student will take between 2 and 4.5 minutes to find a parking spot in the library parking lot.

b)    If 18 students are randomly selected, what is the probability that thesample mean of time to find a parking spot in the library parking lot exceeds 4 minutes?

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