Q1: (A) Assume that the current measurements in a strip of wire follow a normal distribution with a mean of 8 mA and a variance of 4 (mA)². 1- What is the probability that a current measurement is between 7 and 9 mA? 2-Sketch density function for current. (B) Let X be a random variable with probability density function f(x) = {c(1-x³) 0 -1

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Q1: (A) Assume that the current measurements in a strip of wire follow a normal distribution with a
mean of 8 mA and a variance of 4 (mA)².
1- What is the probability that a current measurement is between 7 and 9 mA?
2-Sketch density function for current.
(B) Let X be a random variable with probability density function
f(x) = {c(1-x³)
-1<x<1
otherwise
1. Find the probability P(0≤x≤1)
2. Calculate the central moments of degree 2,3,4 for X.
Transcribed Image Text:Q1: (A) Assume that the current measurements in a strip of wire follow a normal distribution with a mean of 8 mA and a variance of 4 (mA)². 1- What is the probability that a current measurement is between 7 and 9 mA? 2-Sketch density function for current. (B) Let X be a random variable with probability density function f(x) = {c(1-x³) -1<x<1 otherwise 1. Find the probability P(0≤x≤1) 2. Calculate the central moments of degree 2,3,4 for X.
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