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Calculate the probabilities P(X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row.

Calculate the probabilities P(X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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An number cube (a fair die) is rolled 3 times. For each roll, we are interested in whether the roll comes up even or odd. An outcome is represented by a string of the sort oee (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll). For each outcome, let N be the random variable counting the number of odd rolls in each outcome. For example, if the outcome is ooe, then N (ooe) =2. Suppose that the random variable X is defined in terms of N as follows: X=2N-2. The values of X are given in the table below. Outcome eoe ooe oeo eee eoo eeo 000 oee Value of X 0 2 2 -2 2 0 4 0 Calculate the probabilities P (X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value x of X P(X=x) 0 U 0 0 0 믐 X
Transcribed Image Text:An number cube (a fair die) is rolled 3 times. For each roll, we are interested in whether the roll comes up even or odd. An outcome is represented by a string of the sort oee (meaning an odd number on the first roll, an even number on the second roll, and an even number on the third roll). For each outcome, let N be the random variable counting the number of odd rolls in each outcome. For example, if the outcome is ooe, then N (ooe) =2. Suppose that the random variable X is defined in terms of N as follows: X=2N-2. The values of X are given in the table below. Outcome eoe ooe oeo eee eoo eeo 000 oee Value of X 0 2 2 -2 2 0 4 0 Calculate the probabilities P (X=x) of the probability distribution of X. First, fill in the first row with the values of X. Then fill in the appropriate probabilities in the second row. Value x of X P(X=x) 0 U 0 0 0 믐 X
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