8. IThe probability mass function of a random variable J is given as where J = {-1,0, 1} fO) = {7 8' 0, a. Is the probability distribution function valid? Prove your answer elsewhere b. Calculate for the probability of x<½ c. Draw the histogram of the probability mass function

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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8.
IThe probability mass function of a random variable J is given as
where J = {-1,0, 1}
fO) = {7 8
0,
a. Is the probability distribution function valid? Prove your answer
elsewhere
b. Calculate for the probability of x < ½
c. Draw the histogram of the probability mass function
d. Determine the cumulative distribution of the random variable J
e. Draw the histogram of the cumulative distribution function
Transcribed Image Text:8. IThe probability mass function of a random variable J is given as where J = {-1,0, 1} fO) = {7 8 0, a. Is the probability distribution function valid? Prove your answer elsewhere b. Calculate for the probability of x < ½ c. Draw the histogram of the probability mass function d. Determine the cumulative distribution of the random variable J e. Draw the histogram of the cumulative distribution function
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