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)
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 even rolls in each outcome. For example, if the outcome is eoe, then N (eoe) = 2. Suppose that the random variable X is defined in terms of N as follows: X=N-1. The values of X are given in the table below. Outcome eoo ooo eeo ooe eee eoe oee oeo Value of X 0 -1 1 0 2 1 1 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 0 0 010 믐 X
A Statistics instructor wishes to know the average age (in month) of his 200 students. He decides to choose 25 students from the class and ask them for their age. All 200 names are put in a hat and 25 names are then chosen at random (without replacement). The average age of the students chosen is observed to be 231 months. The group of 25 students is known as what?
As part of a statistics project, a teacher brings a bag of marbles containing 700 white marbles and 300 red marbles. She asks her students to determine how many red marbles are in the bag without counting them.A student randomly draws 100 marbles from the bag. Of the 100 marbles, 33 are red.The target population consists of The 100 marbles drawn by the student The 1000 marbles in the bag None of the above The 33 red marbles drawn by the student The 300 red marbles in the bag The sample consists of The 1000 marbles in the bag The 100 marbles drawn by the student The 33 red marbles drawn by the student None of the above The 300 red marbles in the bag Based on the sample, the student would estimate that ------ marbles in the bag were red.
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
Tom has a standard set of pool balls. If he were to draw one ball at random, what is the probability that it will be red or yellow? Give your answer in its simplest form.
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 )
Rehnuma has a set of three special coins. For the first, second and third coin, probability of getting a head is 45%, 65% and 100% respectively. If one coin is tossed randomly and you get head, what is the probability of the coin being two headed?

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