Question

Given that z is a standard normal random variable, find z for each situation. (Round your answers to two decimal places.)

A.The area to the right of z is 0.08.

B.The area to the right of z is 0.025.

C.The area to the right of z is 0.05.

D.The area to the right of z is 0.10.

Answer 1

A)

We want to find the area to the right of z is 0.08.

area to the right of z is 0.08 = 1 - P(z < 0.08 )

using normal z table find P(z < 0.08 )

P(z < 0.08 ) = 0.5319

area to the right of z is 0.08 = 1 -  0.5319

area to the right of z is 0.08 = 0.4681

B)

We want to find the area to the right of z is 0.025.

area to the right of z is 0.08 = 1 - P(z < 0.025 )

using normal z table find P(z < 0.025 )

P(z < 0.025 ) = 0.5100

area to the right of z is 0.025 = 1 -  0.5100

area to the right of z is 0.025 = 0.4900

C)

We want to find the area to the right of z is 0.05.

area to the right of z is 0.08 = 1 - P(z < 0.05 )

using normal z table find P(z < 0.05 )

P(z < 0.05 ) = 0.5199

area to the right of z is 0.05 = 1 - 0.5199

area to the right of z is 0.05 = 0.4801

D)

We want to find the area to the right of z is 0.10.

area to the right of z is 0.08 = 1 - P(z < 0.10 )

using normal z table find P(z < 0.10 )

P(z < 0.10 ) = 0.5398

area to the right of z is 0.10 = 1 -  0.5398

area to the right of z is 0.10 = 0.4602