Free Throw Shot - A player is awarded free throws whenever the player is fouled in a shooting motion. A free throw is counted as one point if the ball went in the basket and zero if it misses. Based on Piel's stats in his previous games, he makes 60% of his free throws. To improve, he shots 5 free throws every day in practice. Suppose the random variable, X, is the number of times Piel makes a basket in 5 free throw attempts. This illustrates a random experiment following a distribution with number of trials, n, equal to making a basket, p, equal to and probability of
Free Throw Shot - A player is awarded free throws whenever the player is fouled in a shooting motion. A free throw is counted as one point if the ball went in the basket and zero if it misses. Based on Piel's stats in his previous games, he makes 60% of his free throws. To improve, he shots 5 free throws every day in practice. Suppose the random variable, X, is the number of times Piel makes a basket in 5 free throw attempts. This illustrates a random experiment following a distribution with number of trials, n, equal to making a basket, p, equal to and probability of
A First Course in Probability (10th Edition)
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![A. Free Throw Shot - A player is awarded free throws whenever the player is fouled in a shooting
motion. A free throw is counted as one point if the ball went in the basket and zero if it misses.
Based on Piel's stats in his previous games, he makes 60% of his free throws. To improve, he
shots 5 free throws every day in practice.
Suppose the random variable, X, is the number of times Piel makes a basket in 5 free throw
attempts. This illustrates a random experiment following a
distribution with number of trials, n, equal to
and probability of
making a basket, p, equal to
Accordingly, below is the probability distribution table for the number of baskets made in his
practice, X.
X
P[X = x]
0
1
2
0.0102 0.0768 0.2304
3
0.3456
In his practice, the probability that he can get 2 to 4 points is
the chance that he will make a perfect score is
4
0.2592
5
While](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff15b0d8d-215a-468b-94bf-43af1b74d1d1%2F41dc127e-de2c-4e13-855d-4858ae0e8928%2Fqyedy2w_processed.png&w=3840&q=75)
Transcribed Image Text:A. Free Throw Shot - A player is awarded free throws whenever the player is fouled in a shooting
motion. A free throw is counted as one point if the ball went in the basket and zero if it misses.
Based on Piel's stats in his previous games, he makes 60% of his free throws. To improve, he
shots 5 free throws every day in practice.
Suppose the random variable, X, is the number of times Piel makes a basket in 5 free throw
attempts. This illustrates a random experiment following a
distribution with number of trials, n, equal to
and probability of
making a basket, p, equal to
Accordingly, below is the probability distribution table for the number of baskets made in his
practice, X.
X
P[X = x]
0
1
2
0.0102 0.0768 0.2304
3
0.3456
In his practice, the probability that he can get 2 to 4 points is
the chance that he will make a perfect score is
4
0.2592
5
While
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