Question

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 = 8; σ = 6 P(5 ≤ x ≤ 14) =

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 = 14.4; σ = 4.2

P(10 ≤ x ≤ 26) =

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 = 22; σ = 4.4

P(x ≥ 30)

Answer 1

Q.1) Given that, mean (μ) = 8 and

standard deviation (σ) = 6

We want to find, P(5 ≤ x ≤ 14)

=> P(5 ≤ x ≤ 14) = 0.5328

b) Given that, mean (μ) = 14.4 and

standard deviation (σ) = 4.2

We want to find, P(10 ≤ x ≤ 26)

=> P(10 ≤ x ≤ 26) = 0.8502

c) Given that, mean (μ) = 22 and

standard deviation (σ) = 4.4

We want to find, P(x ≥ 30)

=> P( x ≥ 14) = 0.0344