Question

e to the left of the following z-values. Round your answers to at least four decimal places.

(a)Find the area under the standard normal curve to the left of =z2.32.

(b)Find the area under the standard normal curve to the left of =z2.36.

(c)Find the area under the standard normal curve to the left of =z−0.61.

(d)Find the area under the standard normal curve to the left of =z−2.17

Answer 1

Here we need to find the area under the standard normal curve to the left of the given z-value.

Now before we go on to solve the problem let us know a bit about standard normal distribution.

A continuous random variable Z is said to have a standard normal distribution if its PDF (Probability Density Function) is given by,

Coming back to our problem

(a) Here we need to find the area under the standard normal curve to the left of z = 2.32

(b) Here we need to find the area under the standard normal curve to the left of z = 2.36

(c) Here we need to find the area under the standard normal curve to the left of z = -0.61

(d) Here we need to find the area under the standard normal curve to the left of z = -2.17