Question

Problem 4.5: (20 pts.) Gaussian Random Variable Let X be a Gaussian random variable with $\mu$ = 5 and $\sigma^2$ = 9: a) Find P [X > 5] b) P [6.72 < X < 10.16] c) P [6$\leq$ X $\leq$ 9] d) Find C, if P [X < C] = 0.8869.

          Problem 4.5: (20 pts.) Gaussian Random Variable
Let X be a Gaussian random variable with $\mu$ = 5 and $\sigma^2$ = 9:
a) Find P [X > 5]
b) P [6.72 < X < 10.16]
c) P [6$\leq$ X $\leq$ 9]
d) Find C, if P [X < C] = 0.8869.

Problem 4.5: (20 pts.) Gaussian Random Variable
Let X be a Gaussian random variable with μ = 5 and σ^2 = 9:
a) Find P [X > 5]
b) P [6.72 < X < 10.16]
c) P [6≤ X ≤ 9]
d) Find C, if P [X < C] = 0.8869.

Added by Matthew P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Thuc Nguyen

12/17/2021

Step 1

Therefore, the standard deviation σ = √9 = 3. Show more…

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Problem 4.5: (20 pts.) Gaussian Random Variable Let X be a Gaussian random variable with µ = 5 and σ² = 9: a) Find P [X > 5] b) P [6.72 < X < 10.16] c) P [6≤ X ≤9] d) Find C, if P [X <C] = 0.8869.