I need help with d and e **Title: Understanding Binomial Probability in Basketball****Introduction:**In this exercise, we explore the application of a binomial model to predict basketball shooting performance. A hypothetical scenario is provided where a basketball player takes 20 field shots during a game with a 25% success rate.**Exercise Details:**1. **Assumptions for a Binomial Model:** - The player attempts 20 shots, each shot is independent with a 25% probability of success. - Assumptions: - Each shot is an independent event. - The probability of making a shot remains constant at 25% for each attempt. - These assumptions are reasonable under controlled conditions but may vary in a real game scenario due to factors like player fatigue or defensive pressure.2. **Expected Number of Baskets:** - You can calculate the expected number of successful shots by multiplying the total attempts by the probability: - \( E(x) = n \times p = 20 \times 0.25 = 5 \) baskets.3. **Surprise Factor for Success Over 11 Shots:** - Given the low success probability, hitting more than 11 shots is unlikely. - Assessment: - The result is surprising: The probability of this occurring is 0.001. - Answer choice: - **B. Yes, you should be surprised because the probability of this occurring is 0.001.**4. **Expected Points Scored with 3-Point Shots:** - If all successful shots are 3-pointers: - Expected points = \( 3 \times \text{Expected baskets} = 3 \times 5 = 15 \) points.5. **Mixed Range Shots Calculation:** - If half of the shots are taken from 3-point range and half from 2-point range: - Both shot types have a 25% success rate. - Calculate expected points: - \( \text{3-point shots: } 10 \times 0.25 \times 3 = 7.5 \) - \( \text{2-point shots: } 10 \times 0.25 \times 2 = 5 \) - Total expected points = \( 7.5 + 5 = 12.5 \) points.**Conclusion:**This exercise illustrates the use of binomial probability to estimate

Answered: Image /qna-images/answer/f5d57b20-63ae-49a3-85df-fc02e9008eda.jpg

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? (Type an imeyer vi a utcimal.)

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? (Type an imeyer vi a utcimal.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Imagine you score a x=54 on an exam. What set of parameters would give you the highest grade? A: ?= 52 and ?=2 B: ?= 50 and ?=8 C: ?= 50 ?=2 D: ?=52 and ?=8
Q.14 1 I 1 1 7818 a b C d TRY a² b² c² d² a3 b³ c³ d³ D
Find the value of w.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc