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/Homework8/4/?user=pma244&effectiveUser;=pma244&key-t9UZLQQU51JFbZTmGp12htLW99Ts; . Apps D Carivas UKY Amazon.com: Orlin webwork ma320-zhou-s18 I homework8 4 MAIN MENU Courses Homework Sets Homework8: Problem 4 Problern 4 User Settings Previous Problem Problem List Next Problem Grades (2 points) A professional Rock, Paper, Scissors player can win a single game (trial) with probability 0.89. The player is up against an opponent. What is the probability that the player will win 2 games before the opponent wins 2 games? Problems Problem 1 Problermi 2 Problem 3 Problem 4 Problem 5 Hint: You want to add several values of a negative binomial distribution u(m, k, p) with k being the number of games needed to win and p being the probability of winning What values of m (the number of games played) do you want? Can the player get 2 wins in 1 game? Can the player get 2 wins over 2 games without the opponent getting 2 wins? How about 3 games? 4? What is the probability that the player wll win 1 game before the opponent wins 2 games? Note: You can eam partial credit on this problem. Preview My Answers Submit You have attempted this problem 0 times. You have unlimited attempts remaining.Explanation / Answer
1)Probability =P(player wins first 2 games+opponent wins first and then payer wins rest of two +player wins 1st ; opponent wins second and then player wins third)
=0.89*0.89+0.11*0.89*0.89+0.89*0.11*0.89=0.966362
2)Probability) =P(player wins+opponent wins and player wins) =0.89+0.11*0.89=0.9879