probability Consider the following problem: Consider an experiment of throwing a fair die. Let X bea random variable which assigns 1 if an even number appear and 0 if an odd number appear.13. What are the values of the random variable X?А. 0В. 1C. 0 and 1D. 1, 2, 3, 4, 5, and 614. Which of the following is the probability distribution (or pmf) of X?А. Р(0) -0В. Р(1) -1C.D.Suppose X is an outcome in throwing a fair die.15. Find the mean (or expected value) of X?A. 0.583B. 0.333C. 0.667D. 0.83316. Find the variance of X?A. 15.833B. 14.583C. 12.843D. 11.538

Consider an experiment throwing a die ( 13) Values of the Random variables x ( 14 ) PMF of x

Answered: Consider the following problem:…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

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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Probability of an Event The probability of an event, denoted as P(E), is the numerical measure of the likelihood that an event will occur. It is calculated by finding the quotient of the number of favorable outcomes and the total number of possible outcomes. In symbols, n(E) P(E)= n(S) where n(E) is the number of the elements in the event and n(S) is the number of the elements in the sample space. 1. If you flip two coins, what is the probability of getting 2 heads? 2. A pair of dice is thrown, what is the probability of getting a result of prime number? 3. If a card is selected at random from a standard deck of 52 cards. What is the probability of getting a "black jack? 4. Moira collects stamps from different countries. She has 10 different stamps from China, 5 from Thailand, 3 from France, 6 from USA and 1 from Venezuela. Her sister Lindsay borrows one stamp for a school assignment. What is the probability that the stamp Lindsay borrows if from Thailand?
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