Solution Found!
The random variable x is normally distributed with the
Chapter , Problem 2CQ(choose chapter or problem)
QUESTION:
Problem 2CQ
The random variable x is normally distributed with the given parameters. Find each probability.
(a) µ = 9.2, σ ≈ 1.62, P(x<5.97)
(b) µ = 87, σ ≈ 19, P(x > 40.5)
(c) µ = 5.5, σ ≈ 0.08, P(5.36<x<5.64)
(d) µ = 18.5, σ ≈ 4.25, P(19.6<x<26.1)
Questions & Answers
QUESTION:
Problem 2CQ
The random variable x is normally distributed with the given parameters. Find each probability.
(a) µ = 9.2, σ ≈ 1.62, P(x<5.97)
(b) µ = 87, σ ≈ 19, P(x > 40.5)
(c) µ = 5.5, σ ≈ 0.08, P(5.36<x<5.64)
(d) µ = 18.5, σ ≈ 4.25, P(19.6<x<26.1)
ANSWER:
Solution:
Step 1 of 5:
Let X follows the Normal distribution with density
P(X = x) =
With parameters and
Test statistic, z =