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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. 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

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

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 8E: Suppose the probability of incorrectly transmitting a single bit is . Compute the probability of...
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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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