Question: Given a normal distribution with mean=50 and standard deviation 4, and given you select a sample of n=100. a. What is the probability that the

Given a normal distribution with mean=50 and standard deviation 4, and given you select a sample of n=100.

a. What is the probability that the population mean is less than 49?(round to 4 decimal places as needed)

b.What is the probability that the population mean is between 49 and 51.5?(round to 4 decimal places as needed)

c. Whatis the probability that the population mean is above 50.4?(round to 4 decimal places as needed)

d. There is a 35% chance that the population mean is above what value?9round to 2 decimal places as needed)

(round to 4 decimal places as needed)

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