A random variable X is normally distributed with µ = 60. Convert the value of X to a Z score, if the standard deviation is as given.
X = 68 sd = 8

and if the standard deviation is as follows:
X = 72 sd = 3

and if the standard deviation is as follows:
X = 66 sd = 4

Question #2 (three part question)

a) Determine the area under the standard normal curve between z = 0 and z = 3.

b) Determine the area under the standard normal curve to the right of z = 1.

c) Determine the area under the stanard normal curve to the left of z = 1.5