distribution given by: 1 2 3 4 P(X = x) 3v 2v 0.4 V a. Determine the following probability: P(X=1) = ? Answer in exact fraction or exact decimals b. What is the expected value of the random variable X? Answer in exact fraction or exact decimals c. What is the variance of the random variable X? Answer in exact fraction or exact decimals d. Find the expectation of the random variable Y, where Y = 3X - 2 Answer in exact fraction or exact decimals

A First Course in Probability (10th Edition)
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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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The discrete random variable X has the probability
distribution given by:
1
2
3
4
P(X:
3v
2v
V
0.4
a. Determine the following probability: P(X=1) = ?
Answer in exact fraction or exact decimals
b. What is the expected value of the random
variable X?
Answer in exact fraction or exact decimals
c. What is the variance of the random variable X?
Answer in exact fraction or exact decimals
d. Find the expectation of the random variable Y,
where Y = 3X – 2
Answer in exact fraction or exact decimals
Transcribed Image Text:The discrete random variable X has the probability distribution given by: 1 2 3 4 P(X: 3v 2v V 0.4 a. Determine the following probability: P(X=1) = ? Answer in exact fraction or exact decimals b. What is the expected value of the random variable X? Answer in exact fraction or exact decimals c. What is the variance of the random variable X? Answer in exact fraction or exact decimals d. Find the expectation of the random variable Y, where Y = 3X – 2 Answer in exact fraction or exact decimals
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