A population has a mean of 50 and a standard deviation of 16. If a random sample of 36 is taken, what is the probability that the sample mean is each of the following? a. Greater than 52 b. Less...

A population has a mean of 50 and a standard deviation of 16. If a random sample of 36 is taken, what is the probability that the sample mean is each of the following?



a. Greater than 52

b. Less than 54

c. Less than 47

d. Between 46.5 and 53.5

e. Between 50.5 and 51.8

(Round the values of z to 2 decimal places, e.g. 15.25. Round your answers to 4 decimal places, e.g. 0.2513.)





a.P(x¯>52) = enter probability rounded to 4 decimal places



b.P(x¯<54) = enter probability="" rounded="" to="" 4="" decimal="">



c.P(x¯<47) = enter probability="" rounded="" to="" 4="" decimal="">



d.P(46.5≤x¯≤53.5) = enter probability rounded to 4 decimal places



e.P(50.5≤x¯≤51.8) = enter probability rounded to 4 decimal places