Probability The distributionlaws of random variables X and Y are given:X-11201P0.6 0.10.30.40.4Find the distribution law of random variable Z = X²Y - 1 and calculate its expected value(The answer is the expected value).YP20.2

Expected value = sum(x*p(x)) Calculate expected value for x and y E(x) = (-1*0.6 + 1*0.1 + 2*0.3) =…

Answered: The distribution laws of random…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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p(a) =0.36 p(B)=0.50 a( a and b) = 0.2365 find out the probability of p( a or B )
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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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Selecting Marbles A bag contains 5 red marbles, 8 white marbles, and 7 blue marbles. Randomly choose two marbles, one at a time, and without replaceme Find the following. Enter your answers as fractions or decimals rounded to three decimal places. Part 1 of 3 (a) The probability that the first marble is white and the second is blue 14 95 P (first white and second blue) = Part 2 of 3 (b) The probability that both are the same color P (same color) = 0.147 Correct Answer: P (same color) = 0.311 Part: 2/3 Part 3 of 3 45 (c) The probability that the second marble is white Pisecond marble white ) =
Calculating the likelihood give B² -2.7, B₁ = 2.9 = and 5 = 0.25 Ź 12 X Y X² 8 10 20 64 400 26 100 676 15 40 225 1600 33 86 389 26761

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The distribution laws of random variables X and Y are given: X -1 2 Y 0 1 P 0.6 0.3 P 0.4 0.4 Find the distribution law of random variable z = X2Y - 1 and calculate its expected value (The answer is the expected value). 1 0.1 2 0.2