(1 point) A hockey player is to take 3 shots on a certain goalie. The probability...

(1 point) A hockey player is to take 3 shots on a certain goalie. The probability he will score a goal on his first shot is 0.35. 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	0	1	2	3
?(?=?)P(X=x)	equation editor Equation Editor	equation editor Equation Editor	equation editor Equation Editor	equation editor Equation Editor

(b) How many goals would you expect this hockey player to score? Enter your answer to four decimals.

?(?)=E(X)=

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(c) Compute the standard deviation the random variable ?X. Enter your answer to two decimals.

??(?)=SD(X)=

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Expert Solution

milcah answered 14 hours ago

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