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A basketball player attempts 20 shots from the field during a game. This player generally hits about 25% 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?

A basketball player attempts 20 shots from the field during a game. This player generally hits about 25% 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?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A basketball player attempts 20 shots from the field during a game. This player generally hits about 25% 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 25% chance, how many points should you expect the player to score? (a) Choose the correct answer below. A. Assume all shots are made with 25% accuracy and independently. This is a reasonable assumption. B. Assume all shots are made with 25% accuracy and are dependent. This is not a reasonable assumption. O C. Assume all shots are made with 75% accuracy and are dependent. This is not a reasonable assumption. O D. Assume all shots are made with 75% accuracy and independently. This is a reasonable assumption.
Transcribed Image Text:A basketball player attempts 20 shots from the field during a game. This player generally hits about 25% 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 25% chance, how many points should you expect the player to score? (a) Choose the correct answer below. A. Assume all shots are made with 25% accuracy and independently. This is a reasonable assumption. B. Assume all shots are made with 25% accuracy and are dependent. This is not a reasonable assumption. O C. Assume all shots are made with 75% accuracy and are dependent. This is not a reasonable assumption. O D. Assume all shots are made with 75% accuracy and independently. This is a reasonable assumption.
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