Let X be a normal random variable with mean μ = −5 and standarddeviation σ = 10. Compute the...

Question

Let X be a normal random variable with mean μ = −5 and standarddeviation σ = 10. Compute the following:(a) P(X (b) P(X > 5)(c) P(−3 (d) P(|X + 5| (e) P(|X − 3| > 2)

Vishali · Accepted Answer

We need to compute
(a) P(X  5)
(c) P(−3  2)
Given: 
Mean=-5
Standard Deviation=10
a) We need to find
Therefore, based on the information provided, it is concluded that P(X
---
=>
=>
=
(37)
3(5)7(5)
()
1010
(0.21.2)
(1.2)(0.2)
0.88490.5793
0.

Let X be a normal random variable with mean μ = −5 and standarddeviation σ = 10. Compute the following:(a) P(X (b) P(X > 5)(c) P(−3 (d) P(|X + 5| (e) P(|X − 3| > 2)

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