Question

Solve questions 1 through 7:

1) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

μ = 15.7; σ = 4.5

P(10 ≤ x ≤ 26) =

2) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

μ = 14.6; σ = 2.9

P(8 ≤ x ≤ 12) =

3) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

μ = 104; σ = 12

P(x ≥ 120) =

4) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)

μ = 2.9; σ = 0.40

P(x ≥ 2) =

5) Find z such that 3.5% of the standard normal curve lies to the left of z. (Round your answer to two decimal places.)
z =

6) Find z such that 5.1% of the standard normal curve lies to the right of z. (Round your answer to two decimal places.)
z =

7) Find the z value such that 81% of the standard normal curve lies between −z and z. (Round your answer to two decimal places.)
z =

Answer 1

Solution :

Step by Step Images

Right tailed Standard Normal Statistical table :

Left tailed standard normal statistical table :