In the probability distribution table provided, the random variable $ X $ represents the number of hits a baseball player achieved in a game during a season. The data is to be analyzed by completing tasks (a) through (f).### Probability Distribution Table| $ x $ | $ P(x) $ ||---------|------------|| 0 | 0.1663 || 1 | 0.3351 || 2 | 0.2862 || 3 | 0.1495 || 4 | 0.0375 || 5 | 0.0254 |### Task (a): Verify that this is a discrete probability distribution.- Instructions: Confirm that the given distribution is discrete by completing the statements: - This is a discrete probability distribution because the number of hits is an integer between $\_\_\_\_$ and $\_\_\_\_$, inclusive, and the sum of the probabilities is $\_\_\_\_$.### Task (b): Draw a graph of the probability distribution and describe its shape.- Instructions: - Select the correct graph of the probability distribution from the options (A, B, C, D) below. - Describe the shape of the distribution. - **Graphs Description**: - Graph A: Bars represent probabilities for hits 0 through 5, highest at 1 hit. - Graph B: Similar to Graph A, slightly varied probabilities. - Graph C: Probabilities increase towards 3 and then decrease. - Graph D: Symmetrical distribution around 2.- Describe the distribution as either symmetric, skewed left, or skewed right, and determine if it is uniform, bell-shaped, etc.(Note: The textual portion should be filled out based on instructions in a classroom or exam setting, with students completing the boxed spaces.)### Additional tasks (not visible here) likely include:- Calculating the mean of the distribution.- Determining the variance and standard deviation.- Solving related probabilities based on the distribution.This activity involves verifying, graphing, and analyzing a discrete probability distribution related to sports statistics.

In the probability distribution to the right, the random variable X represents the number of hits a…

Answered: In the probability distribution to the…

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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In the probability distribution to the right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts (a) through (f) below. (a) Verify that this is a discrete probability distribution. This is a discrete probability distribution because and the of the probabilities is (Type whole numbers. Use ascending order.) between and X102 3 4 5 P(x) 0.1674 0.3358 0.2843 0.1503 0.0385 0.0237 inclusive,
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