Question

A) Find the z-score corresponding to the given area. Remember, z is distributed as the standard normal distribution with mean of μ = 0 and standard deviation σ = 1. Round to two decimals, if necessary.

The area to the left of z is 10%. z = The area to the right of z is 50%. z =

The area to the left of z is 55%. z = The area to the right of z is 5%. z =

The area between -z and z is 95%. (Hint draw a picture and figure out the area to the left of the -z.) z =

The area between -z and z is 99%. z =

B) If a random variable that is normally distributed has a mean of 29 and a standard deviation of 3, convert the given value to a z-score. Round to two decimal places, if necessary. x = 25 so z =

x = 41 so z =

x = 26 so z =

x = 34 so z =

C) Find each of the probabilities, where z is a z-score from the standard normal distribution with mean of μ = 0 and standard deviation σ = 1. Round to four decimal places, if necessary.

P(z < -1.73) =

P(z > 0.91) =

P(0 < z < 0.23) =

P(-1.1 < z < -1.01) =

Answer 1