Parth X Webok for UK MA320 xWeBWork: MA320-Zhoux Secure https:/ webwork.as.uky.e

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Parth X Webok for UK MA320 xWeBWork: MA320-Zhoux Secure https:/ webwork.as.uky.edu webwork2/MA320-Zhou-S18/Homework8/2/?user-pma244&effectiveUser;=pma244&key-t9UZLQQU51JFbZTmGp12htLW99Ts; . Apps D Carivas UKY Problem 2 Amazon.co"Online User Settings Previous Problem Problem List Next Problemm Grades (2 points) Let X1, X2 be 2 mutually independent discrete random variables. The first variable X1 can be a whole number from 1 to 5, Its distribution function is Problems 15 Problem 1... Problem 2 Problem 3 Problem 4 Problem 5 The second variable X2 can be a whole number from 1 to 5. It has a uniform distribution. First, find the exact values (using fractions) of P(X-5)- P(X1-4 and X2-5)- 1 Let Y denote the maximum of the X's. Find the probability that Y P(Y 1)- Find the probability that Y 2, P(Y-2)- Hint: Use cases based on what X] and X2 are Note: You can eam partial credit on this problem Preview My Answers Submit Answers have attempted this problem 0 times. You You have unlimited attempts remaining.

Explanation / Answer

P(X1=4) =(6-4)/15 =2/15

P(X2=5 )=1/5 (As unifiorm function with 5 possible values)

P(X1=4 ; X2=5 )=(2/15)*(1/5) =2/75

P(Y=1) =P(X1=1,X2=1) =(6-1)/15 *1/5 =1/15

P(Y=2)=P(X1=1,X2=2)+P(X1=2,X2=2)+P(X1=2,X2=1) =(5/15)*(1/5)+(4/15)*(1/5)+(4/15)*(1/5) =13/75

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