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1. The probability density function for a random variable A is Sa sin? T* for 0 < x < 4, fx(x) = { otherwise. Determine a. the numerical value of a b. the cumulative distribution function Fx(x) c. the probability that X is not between 1.5 and 3.0

1. The probability density function for a random variable A is Sa sin? T* for 0 < x < 4, fx(x) = { otherwise. Determine a. the numerical value of a b. the cumulative distribution function Fx(x) c. the probability that X is not between 1.5 and 3.0

A First Course in Probability (10th Edition)
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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1. The probability density function for a random variable X is for 0 < x < 4, fx(x) = -{a sin' 4 for 0 < z< 4, otherwise. Determine a. the numerical value of œ b. the cumulative distribution function Fx(x) c. the probability that X is not between 1.5 and 3.0 2. A continuous random variable X has the following cumulative distribution function. for x < 200 Fx(x): (x – 200)/1500 for 200 < x < 1700 1 for x > 1700 Determine a. the probability density function fx(x) b. the mean c. the standard deviation d. the expected value of X3
Transcribed Image Text:1. The probability density function for a random variable X is for 0 < x < 4, fx(x) = -{a sin' 4 for 0 < z< 4, otherwise. Determine a. the numerical value of œ b. the cumulative distribution function Fx(x) c. the probability that X is not between 1.5 and 3.0 2. A continuous random variable X has the following cumulative distribution function. for x < 200 Fx(x): (x – 200)/1500 for 200 < x < 1700 1 for x > 1700 Determine a. the probability density function fx(x) b. the mean c. the standard deviation d. the expected value of X3
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