A basketball player attempts 20 shots from the field during a game. This player generally hits about 30% of these shots. (a) In order to use a binomial model for the number of made baskets, what assumptions are needed in this example? Are they reasonable? (b) How many baskets should you expect this player to make in the game? (c) If the player hits more than 11 shots (12, 13, 14, ... or 20), should you be surprised? (d) How many points should you expect the player to score if all of these are 3-point shots? (e) If this player randomly takes half of the shots from 3-point range and half from 2-point range and makes both with 30% chance, how many points should you expect the player to score? A. Assume all shots are made with 70% accuracy and are dependent. This is not a reasonable assumption. B. Assume all shots are made with 70% accuracy and independently. This is a reasonable assumption. C. Assume all shots are made with 30% accuracy and are dependent. This is not a reasonable assumption. D. Assume all shots are made with 30% accuracy and independently. This is a reasonable assumption. (b) How many baskets should you expect this player to make in the game? 6 baskets (Type an integer or a decimal.) (c) If the player hits more than 11 shots (12, 13, 14, ... or 20), should you be surprised? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to three decimal places as needed.) A. Yes, you should be surprised because the probability of this occurring is B. No, you should not be surprised because the probability of this occurring is 0.0051

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

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A basketball player attempts 20 shots from the field during a game. This player generally hits about 30% of these
shots.
(a) In order to use a binomial model for the number of made baskets, what assumptions are needed in this example?
Are they reasonable?
(b) How many baskets should you expect this player to make in the game?
(c) If the player hits more than 11 shots (12, 13, 14, ... or 20), should you be surprised?
(d) How many points should you expect the player to score if all of these are 3-point shots?
(e) If this player randomly takes half of the shots from 3-point range and half from 2-point range and makes both with
30% chance, how many points should you expect the player to score?
A. Assume all shots are made with 70% accuracy and are dependent. This is not a reasonable assumption.
B. Assume all shots are made with 70% accuracy and independently. This is a reasonable assumption.
Assume all shots are made with 30% accuracy and are dependent. This is not a reasonable assumption.
D. Assume all shots are made with 30% accuracy and independently. This is a reasonable assumption.
(b) How many baskets should you expect this player to make in the game?
6 baskets
(Type an integer or a decimal.)
(c) If the player hits more than 11 shots (12, 13, 14, or 20), should you be surprised? Select the correct choice below
and, if necessary, fill in the answer box to complete your choice.
(Round to three decimal places as needed.)
A. Yes, you should be surprised because the probability of this occurring is
OB. No, you should not be surprised because the probability of this occurring is 0.0051
Transcribed Image Text:A basketball player attempts 20 shots from the field during a game. This player generally hits about 30% of these shots. (a) In order to use a binomial model for the number of made baskets, what assumptions are needed in this example? Are they reasonable? (b) How many baskets should you expect this player to make in the game? (c) If the player hits more than 11 shots (12, 13, 14, ... or 20), should you be surprised? (d) How many points should you expect the player to score if all of these are 3-point shots? (e) If this player randomly takes half of the shots from 3-point range and half from 2-point range and makes both with 30% chance, how many points should you expect the player to score? A. Assume all shots are made with 70% accuracy and are dependent. This is not a reasonable assumption. B. Assume all shots are made with 70% accuracy and independently. This is a reasonable assumption. Assume all shots are made with 30% accuracy and are dependent. This is not a reasonable assumption. D. Assume all shots are made with 30% accuracy and independently. This is a reasonable assumption. (b) How many baskets should you expect this player to make in the game? 6 baskets (Type an integer or a decimal.) (c) If the player hits more than 11 shots (12, 13, 14, or 20), should you be surprised? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to three decimal places as needed.) A. Yes, you should be surprised because the probability of this occurring is OB. No, you should not be surprised because the probability of this occurring is 0.0051
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