Let X be a random variable with probability density function 2r 0S<11 0 o therwise S(x) = Compute the following probabilities: a. Prob(X < 1/4); b. Prob(X < 1/4|X < 1/2): c. Prob(X > 1/4|X < 1/2); d. Prob(X < 1/2|X > 1/4).
Let X be a random variable with probability density function 2r 0S<11 0 o therwise S(x) = Compute the following probabilities: a. Prob(X < 1/4); b. Prob(X < 1/4|X < 1/2): c. Prob(X > 1/4|X < 1/2); d. Prob(X < 1/2|X > 1/4).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:\ Let X be a random variable with probability density function
f(1) = {0 otherwise *
Compute the following probabilities:
a. Prob(X < 1/4);
b. Prob(X < 1/4|X < 1/2):
c. Prob(X > 1/4|X < 1/2);
d. Prob(X < 1/2|X > 1/4).
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