Assume a normal distribution and find the following probabilities.

(Round the values of z to 2 decimal places, e.g. 1.25. Round your answers to 4 decimal places, e.g. 0.2531.)

(a)P(x<20|=23and=4)

enter probability rounded to 4 decimal places

(b)P(x52|=40and=7)

enter probability rounded to 4 decimal places

(c)P(x>36|=40and=6)

enter probability rounded to 4 decimal places

(d)P(16<x<22|=21and=4)

enter probability rounded to 4 decimal places

(e)P(x104|=90and=2.77)

enter probability rounded to 4 decimal places