1) A normal random variable x has an unknown meanμ and standard deviation σ = 2. If theprobability 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 xwith mean μ and standard deviation σ specifiedbelow. (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 xwith mean μ and standard deviation σ specifiedbelow. (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 xwith mean μ and standard deviation σ specifiedbelow. (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 meanμ = 0 and standard deviation σ = 1. Find thevalue c that satisfies the inequality. (Round your answerto two decimal places.)
P(−c <z < c) = 0.80
c =
6) Suppose x has a uniform distribution on the intervalfrom −1 to 1. Find the probability.
P(x > 0.5)
