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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is this table probability distribution compute E(x), o 1 2 3 4 P(x) 0.16 0.25 0.19 0.29 0.06
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The table defines a discrete probability distribution. Find the expected value of the distribution. x 0 1 2 3 Pr(x) 3/16 5/16 1/16 7/16

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