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A hockey player is to take 3 shots on a certain goalie. The probability he will score a goal on his first shot is 0.3. If he scores on his first shot, the chance he will score on his second shot increases by 0.1; if he misses, the chance that he scores on his second shot decreases by 0.1. This pattern continues to on his third shot: If the player scores on his second shot, the probability he will score on his third shot increases by another 0.1; should he not score on his second shot, the probability of scoring on the third shot decreases by another 0.1. A random variable X counts the number of goals this hockey player scores. (a) Complete the probability distribution of X below. Use four decimals in each of your entries. X P(X =x) 0 1 2 3 (b) How many goals would you expect this hockey player to score? Enter your answer to four decimals. E(X)= (c) Compute the standard deviation the random variable X. Enter your answer to two decimals. SD(X) =

A hockey player is to take 3 shots on a certain goalie. The probability he will score a goal on his first shot is 0.3. If he scores on his first shot, the chance he will score on his second shot increases by 0.1; if he misses, the chance that he scores on his second shot decreases by 0.1. This pattern continues to on his third shot: If the player scores on his second shot, the probability he will score on his third shot increases by another 0.1; should he not score on his second shot, the probability of scoring on the third shot decreases by another 0.1. A random variable X counts the number of goals this hockey player scores. (a) Complete the probability distribution of X below. Use four decimals in each of your entries. X P(X =x) 0 1 2 3 (b) How many goals would you expect this hockey player to score? Enter your answer to four decimals. E(X)= (c) Compute the standard deviation the random variable X. Enter your answer to two decimals. SD(X) =

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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A hockey player is to take 3 shots on a certain goalie. The probability he will score a goal on his first shot is 0.3. If he scores on his first shot, the chance he will score on his second shot increases by 0.1; if he misses, the chance that he scores on his second shot decreases by 0.1. This pattern continues to on his third shot: If the player scores on his second shot, the probability he will score on his third shot increases by another 0.1; should he not score on his second shot, the probability of scoring on the third shot decreases by another 0.1. A random variable X counts the number of goals this hockey player scores. (a) Complete the probability distribution of X below. Use four decimals in each of your entries. X P(X = x) (b) How many goals would you expect this hockey player to score? Enter your answer to four decimals. E(X)= 1 2 3 (c) Compute the standard deviation the random variable X. Enter your answer to two decimals. SD(X) =
Transcribed Image Text:A hockey player is to take 3 shots on a certain goalie. The probability he will score a goal on his first shot is 0.3. If he scores on his first shot, the chance he will score on his second shot increases by 0.1; if he misses, the chance that he scores on his second shot decreases by 0.1. This pattern continues to on his third shot: If the player scores on his second shot, the probability he will score on his third shot increases by another 0.1; should he not score on his second shot, the probability of scoring on the third shot decreases by another 0.1. A random variable X counts the number of goals this hockey player scores. (a) Complete the probability distribution of X below. Use four decimals in each of your entries. X P(X = x) (b) How many goals would you expect this hockey player to score? Enter your answer to four decimals. E(X)= 1 2 3 (c) Compute the standard deviation the random variable X. Enter your answer to two decimals. SD(X) =
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