A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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3. A cumulative distribution function of a discrete random variable X is given as 1s x< 2 2sx< 3 F (x)={ k+5 3s x< 4 8 5k X24 10 where k is a constant. (a) Show thatk = 2. (b) Find the median of the distribution. (c) Use Fx) to calculate P(2 sX< 4). (d) Find the probability distribution function of X. (e) Determine the mean and variance of X.
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Transcribed Image Text:3. A cumulative distribution function of a discrete random variable X is given as 1s x< 2 2sx< 3 F (x)={ k+5 3s x< 4 8 5k X24 10 where k is a constant. (a) Show thatk = 2. (b) Find the median of the distribution. (c) Use Fx) to calculate P(2 sX< 4). (d) Find the probability distribution function of X. (e) Determine the mean and variance of X.
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