Question 2: Dwayne Jetski is a famous hockey player who has a powerful (though sometimes wild) slap shot. Any time he shoots the puck on goal, he scores with probability and the puck goes into the crowd with probability. a) In a typical night, Dwayne has 10 shots on goal. What is the probability that Dwayne scores at least 1 goal? b) A hat trick is where a player gets 3 goals in a night. What is the probability that Dwayne scores a hat trick (that is he scores at least 3 goals)? c) Over a stretch of 10 games Dwayne takes 50 shots. What is the probability that Dwayne scores exactly 10 goals or exactly 10 shots go into the crowd?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please Complete part A,B,C of this textbook question

Question 2: Dwayne Jetski is a famous hockey player who has a powerful (though sometimes
wild) slap shot. Any time he shoots the puck on goal, he scores with probability and the
ㅎ
puck goes into the crowd with probability.
a) In a typical night, Dwayne has 10 shots on goal. What is the probability that Dwayne
scores at least 1 goal?
b) A hat trick is where a player gets 3 goals in a night. What is the probability that
Dwayne scores a hat trick (that is he scores at least 3 goals)?
c) Over a stretch of 10 games Dwayne takes 50 shots. What is the probability that
Dwayne scores exactly 10 goals or exactly 10 shots go into the crowd?
Transcribed Image Text:Question 2: Dwayne Jetski is a famous hockey player who has a powerful (though sometimes wild) slap shot. Any time he shoots the puck on goal, he scores with probability and the ㅎ puck goes into the crowd with probability. a) In a typical night, Dwayne has 10 shots on goal. What is the probability that Dwayne scores at least 1 goal? b) A hat trick is where a player gets 3 goals in a night. What is the probability that Dwayne scores a hat trick (that is he scores at least 3 goals)? c) Over a stretch of 10 games Dwayne takes 50 shots. What is the probability that Dwayne scores exactly 10 goals or exactly 10 shots go into the crowd?
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