1. From a basket of vegetables containing 3 carrots, 2 potatoes, and 3pumpkins, a random sample of 4 pieces of vegetables is selected. If X isthe number of carrots and Y is the number of potatoes in the sample, finda. The joint probability distribution of X and Y;b. P[(X,Y) e A], where A is the region that is given by {(x,y)|x + y < 2}.2. It is determined by a manufacturer of a refrigerator that the time Y (inyears) before a major repair is required is characterized by the probabilitydensity functionf(y) = {4ey 2 0,elsewhere.a. Consumers would consider the product a bargain if it is unlikely torequire a major repair before the sixth year. Comment on this bydetermining P(Y > 6).b. What is the probability that a major repair occurs in the first year?

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1. From a basket of vegetables containing 3 carrots, 2 potatoes, and 3 pumpkins, a random sample of 4 pieces of vegetables is selected. If X is the number of carrots and Y is the number of potatoes in the sample, find a. The joint probability distribution of X and Y; b. P[(X,Y) e A], where A is the region that is given by {(x,y)|x + y < 2}.

1. From a basket of vegetables containing 3 carrots, 2 potatoes, and 3 pumpkins, a random sample of 4 pieces of vegetables is selected. If X is the number of carrots and Y is the number of potatoes in the sample, find a. The joint probability distribution of X and Y; b. P[(X,Y) e A], where A is the region that is given by {(x,y)|x + y < 2}.

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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