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3) Suppose that X₁, X₂, ..., X₁00 is a random sample from a normally distributed population with mean μ = 25 and variance o² = 36. If Y=100X₁, S² = 99 Y-μy dy Find the mean and variance of Y. (X,Y)², and W = a) b) Find the P(1000 < ¹0X₁ <1200). c) State with parameters the probability distribution function of W.

3) Suppose that X₁, X₂, ..., X₁00 is a random sample from a normally distributed population with mean μ = 25 and variance o² = 36. If Y=100X₁, S² = 99 Y-μy dy Find the mean and variance of Y. (X,Y)², and W = a) b) Find the P(1000 < ¹0X₁ <1200). c) State with parameters the probability distribution function of W.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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a c) d) What is the P(0 < Y≤ 3)? Find the mean and variance of Y = Σ₁-1 X₁. 3) Suppose that X₁, X₂,..., X100 is a random sample from a normally distributed population with mean μ = 25 and variance o² = 36. If Y = -Σ19 Xi, S2 = 1100 100 (X₁-Y)², and W Y-μy dy Find the mean and variance of Y. Find the P(1000 < ΣX; < 1200). State with parameters the probability distribution function of W. Compute the P(0.004 < W² < 3.841). Compute the P(995² > 2805.444). a) b) c) d) e) 100 9bec02efe83ed9b....mp4 d90c9658a8711bf....mp4 S6 d90c9658a8711bf....mp4 Failed Forbidden 20°C
Transcribed Image Text:a c) d) What is the P(0 < Y≤ 3)? Find the mean and variance of Y = Σ₁-1 X₁. 3) Suppose that X₁, X₂,..., X100 is a random sample from a normally distributed population with mean μ = 25 and variance o² = 36. If Y = -Σ19 Xi, S2 = 1100 100 (X₁-Y)², and W Y-μy dy Find the mean and variance of Y. Find the P(1000 < ΣX; < 1200). State with parameters the probability distribution function of W. Compute the P(0.004 < W² < 3.841). Compute the P(995² > 2805.444). a) b) c) d) e) 100 9bec02efe83ed9b....mp4 d90c9658a8711bf....mp4 S6 d90c9658a8711bf....mp4 Failed Forbidden 20°C
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