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2, and 1. X and Y are independent random variables with E(X) = 1, E(Y) = 6, Var(X) = %3D Var(Y) = 2. Find the following: a. E(X - 6) b. (XY) C. E(X + Y)

2, and 1. X and Y are independent random variables with E(X) = 1, E(Y) = 6, Var(X) = %3D Var(Y) = 2. Find the following: a. E(X - 6) b. (XY) C. E(X + Y)

A First Course in Probability (10th Edition)
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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please please answer all of these since they are basic... hope you can help me

1. X and Y are independent random variables with E(X) = 1, E(Y) = 6, Var(X) = 2, and Var(Y) = 2. Find the following: a. E(X - 6) %3D %3D %3! b. (XY) C. E(X + Y) 2. Toss a pair of dice. Let X denote the sum of numbers on the two dice. Find the expected value of X. 3. Suppose you play in a game where it is possible to lose P100, break even, win P300, or win P1000 each time you play. The probability distribution for each outcome is provided by the following table: -P100 P0.00 P300 P1000 P(X = x). 0.30 0.40 0.20 Calculate the expected outcome from this game. 0.10
Transcribed Image Text:1. X and Y are independent random variables with E(X) = 1, E(Y) = 6, Var(X) = 2, and Var(Y) = 2. Find the following: a. E(X - 6) %3D %3D %3! b. (XY) C. E(X + Y) 2. Toss a pair of dice. Let X denote the sum of numbers on the two dice. Find the expected value of X. 3. Suppose you play in a game where it is possible to lose P100, break even, win P300, or win P1000 each time you play. The probability distribution for each outcome is provided by the following table: -P100 P0.00 P300 P1000 P(X = x). 0.30 0.40 0.20 Calculate the expected outcome from this game. 0.10
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