Question

1) A normal random variable x has an unknown mean μ and standard deviation σ = 2. If the probability that x exceeds 4.6 is 0.8023, find μ. (Round your answer to one decimal place.)

μ =

2) Answer the question for a normal random variable x with mean μ and standard deviation σ specified below. (Round your answer to four decimal places.)

μ = 1.3 and σ = 0.19.

Find

P(1.50 < x < 1.71).

P(1.50 < x < 1.71) =

3) Answer the question for a normal random variable x with mean μ and standard deviation σ specified below. (Round your answer to four decimal places.)

μ = 1.2 and σ = 0.18.

Find

P(x > 1.34).

P(x > 1.34)

4) Answer the question for a normal random variable x with mean μ and standard deviation σ specified below. (Round your answer to four decimal places.)

μ = 1.3 and σ = 0.19.

Find

P(1.00 < x < 1.10).

P(1.00 < x < 1.10)

5) Let z be a standard normal random variable with mean μ = 0 and standard deviation σ = 1. Find the value c that satisfies the inequality. (Round your answer to two decimal places.)

P(−c < z < c) = 0.80

c =

6) Suppose x has a uniform distribution on the interval from −1 to 1. Find the probability.

P(x > 0.5)

Answer 1