Question

Consider the random variable X sim N(m, Sigma) , If another random variable Z is SNV such that Z = - 0.8 when X = 26 and Z = 2 when x = 40 then find m and 2 and P(X > 45) and P(|X - 30| > 5)

Name: consider the random variable x sim nm sigma if another random variable z is snv such that z 08 when x 26 and z 2 when x 40 then find m and 2 and px 45 and px 30 5 19077
Uploaded: 2025-03-27T16:55:43-08:00
Duration: 1 min 22 s
Channel: Pritesh Ranjan
Description: consider the random variable x sim nm sigma if another random variable z is snv such that z 08 when x 26 and z 2 when x 40 then find m and 2 and px 45 and px 30 5 19077

          Consider the random variable X sim N(m, Sigma) , If another random variable Z is SNV such that Z = - 0.8 when X = 26 and Z = 2 when x = 40 then find m and 2 and P(X > 45) and P(|X - 30| > 5)

Added by John D.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Pritesh Ranjan

03/27/2025

Step 1

Solve for Z = aX + b using: a·26 + b = -0.8 a·40 + b = 2 Subtract: a(14) = 2.8 → a = 0.2 Then b = -0.8 − 0.2·26 = -0.8 − 5.2 = -6 So Z = 0.2X − 6. Show more…

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Consider the random variable X sim N(m, Sigma) , If another random variable Z is SNV such that Z = - 0.8 when X = 26 and Z = 2 when x = 40 then find m and 2 and P(X > 45) and P(|X - 30| > 5)