Problem 5 The probability that a basketball player makes a free throw is p= 0.7. The player's free throw's are modeled as a sequence of Bernoulli trials. The player earns $1 for a making a free throw and loses $1 otherwise. (a) If the player's net gain is modeled as the random walk process associated with the Bernoulli trials, what is the probability that the player has a net gain of $2 or more at the end of the 4th trial? (b) What is the player's expected net gain at the end of the 16th trial?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Problem 5
The probability that a basketball player makes a free throw is p = 0.7. The player's free throw's are
modeled as a sequence of Bernoulli trials. The player earns $1 for a making a free throw and loses $1
otherwise.
(a) If the player's net gain is modeled as the random walk process associated with the Bernoulli trials,
what is the probability that the player has a net gain of $2 or more at the end of the 4th trial?
(b) What is the player's expected net gain at the end of the 16th trial?
Transcribed Image Text:Problem 5 The probability that a basketball player makes a free throw is p = 0.7. The player's free throw's are modeled as a sequence of Bernoulli trials. The player earns $1 for a making a free throw and loses $1 otherwise. (a) If the player's net gain is modeled as the random walk process associated with the Bernoulli trials, what is the probability that the player has a net gain of $2 or more at the end of the 4th trial? (b) What is the player's expected net gain at the end of the 16th trial?
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