When LeBron James shoots a free throw, he hits with a probability of 0.9 and misses with a probability of 0.1. Assume that the result of his previous free throw (whether a hit or a miss), does not affect the probability with which he hits the current throw, i.e., for any free throw he shoots, he hits with a probability of 0.9 and misses with a probability of 0.1. When he hits a free throw, he makes one point and when he misses a free throw, he makes zero points. Answer the following questions with this information. Let P1 denote a random variable that represents the number of points LeBron James makes when he shoots only one free throw. 1. How many possible values can P1 take? Develop a probability distribution for P1 (Very important: Enter the values of P1 in increasing order as you go down in the table) P1 f(P1) (1 decimal) (1 decimal)

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Author:Amos Gilat
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When LeBron James shoots a free throw, he hits with a probability of 0.9 and misses with a probability of 0.1. Assume
that the result of his previous free throw (whether a hit or a miss), does not affect the probability with which he hits the
current throw, i.e., for any free throw he shoots, he hits with a probability of 0.9 and misses with a probability of 0.1.
When he hits a free throw, he makes one point and when he misses a free throw, he makes zero points. Answer the
following questions with this information.
Let P1 denote a random variable that represents the number of points LeBron James makes when he shoots only one
free throw.
1. How many possible values can P1 take?
Develop a probability distribution for P1 (Very important: Enter the values of P1 in increasing order as you go
down in the table)
P1
f(P1)
(1 decimal)
(1 decimal)
Transcribed Image Text:When LeBron James shoots a free throw, he hits with a probability of 0.9 and misses with a probability of 0.1. Assume that the result of his previous free throw (whether a hit or a miss), does not affect the probability with which he hits the current throw, i.e., for any free throw he shoots, he hits with a probability of 0.9 and misses with a probability of 0.1. When he hits a free throw, he makes one point and when he misses a free throw, he makes zero points. Answer the following questions with this information. Let P1 denote a random variable that represents the number of points LeBron James makes when he shoots only one free throw. 1. How many possible values can P1 take? Develop a probability distribution for P1 (Very important: Enter the values of P1 in increasing order as you go down in the table) P1 f(P1) (1 decimal) (1 decimal)
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