A population has a mean of50and a standard deviation of15. If a random sample of49is taken, what is the probability that the sample mean is each of the following? a. Greater than52 b. Less than51 c. Less than49 d. Between46.5and54.5 e. Between50.6and51.6

(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<51)=enter probability rounded to 4 decimal places c. P(x<49)=enter probability rounded to 4 decimal places d. P(46.5x54.5)=enter probability rounded to 4 decimal places e. P(50.6x51.6)=enter probability rounded to 4 decimal places