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 ofthe 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 even rolls in each outcome. For example, if the outcome is eee, then N (eee) = 3.Suppose that the random variable X is defined in terms of N as follows: X=3N-N²-3. The values of X are given in the table below.Outcome ooo eee oee eoo eoe oeo ooe eeoValue of X-3 -3 -1 - 1 -1 -1 -1 - 1Calculate 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 inthe second row.Value X of XP(X=x)0Olo8X

A number cube (a fair die) is rolled 3 times.

Answered: An number cube (a fair die) is rolled 3…

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 ooo, then =Nooo3. Suppose that the random variable X is defined in terms of N as follows: =X−2N−N23. The values of X are given in the table below. Outcome ooo eeo ooe eoe eee oee oeo eoo Value of X −6 −2 −3 −2 −3 −2 −3 −3 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)
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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 (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 be the random variable counting the number of even rolls in each outcome. For example, if the outcome is , then . Suppose that the random variable is defined in terms of as follows: . The values of are given in the table below. Outcome Value of Calculate the probabilities of the probability distribution of . First, fill in the first row with the values of . Then fill in the appropriate probabilities in the second row. Value of
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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 eeo, then = Neeo1. Suppose that the random variable X is defined in terms of N as follows: = X−6N−2N24. The values of X are given in the table below. Outcome eoe oee eeo oeo eee ooo ooe eoo Value of X 0 0 0 0 −4 −4 0 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 )
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