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The amount of time, X, in minutes that a professor is late for class has the following probability density function: f(x) = x(2 - x)(3- x) for 0sxs2 and o othervise. a) What is the probability that X > 0.5? b) What is the probability that X < 1.5? c) What is the probability that 0.25

The amount of time, X, in minutes that a professor is late for class has the following probability density function: f(x) = x(2 - x)(3- x) for 0sxs2 and o othervise. a) What is the probability that X > 0.5? b) What is the probability that X < 1.5? c) What is the probability that 0.25

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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The amount of time, X, in minutes that a professor is late for class has the following probability density function: f(x) = x(2 - x)(3- x) for 0s xs2 and O otherwise. a) What is the probability that X > 0.5? b) What is the probability that X < 1.5? c) What is the probability that 0.25 < X < 0.75? d) What is the expected value of X? e) What is the expected value of X - 3? f) What is the expected value of 3X? g) What is the expected value of x ? h) What is the probability that X is less than its expected value? i) What is the expected value of V? i) What is the 70th percentile of X? k) What is the probability that X is within 0.1 of its expected value? I) What is the probability that X = 0.7?
Transcribed Image Text:The amount of time, X, in minutes that a professor is late for class has the following probability density function: f(x) = x(2 - x)(3- x) for 0s xs2 and O otherwise. a) What is the probability that X > 0.5? b) What is the probability that X < 1.5? c) What is the probability that 0.25 < X < 0.75? d) What is the expected value of X? e) What is the expected value of X - 3? f) What is the expected value of 3X? g) What is the expected value of x ? h) What is the probability that X is less than its expected value? i) What is the expected value of V? i) What is the 70th percentile of X? k) What is the probability that X is within 0.1 of its expected value? I) What is the probability that X = 0.7?
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