**Problem 7.** Consider the following table formed by a population of 70.\[\begin{array}{c|c|c} & A & B \\\hlineX & 22 & 17 \\Y & 18 & 13 \\\end{array}\]**Part A.** Find $ P(A) $, $ P(B) $, $ P(X) $, $ P(Y) $.**Part B.** Find the probability of $ X \cap B $ and $ X \cup B $.**Part C.** Find the conditional probability of $ P(X|A) $ and $ P(B|Y) $.---### Explanation of the Table:The table represents a population divided into different categories. The rows are labeled as $ X $ and $ Y $, and the columns are labeled as $ A $ and $ B $. The numbers in the table represent the count of individuals in each category.- The number 22 corresponds to category $ X $ and column $ A $.- The number 17 corresponds to category $ X $ and column $ B $.- The number 18 corresponds to category $ Y $ and column $ A $.- The number 13 corresponds to category $ Y $ and column $ B $.The total population is given as 70.

Name: **Problem 7.** Consider the following table formed by a population of
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Description: **Problem 7.** Consider the following table formed by a population of 70.\[\begin{array}{c|c|c} & A & B \\\hlineX & 22 & 17 \\Y & 18 & 13 \\\end{array}\]**Part A.** Find $ P(A) $, $ P(B) $, $ P(X) $, $ P(Y) $.**Part B.** Find the probability

A B Total X 22 17 39 Y 18 13 31 Total 40 30 70

Math

Statistics

Problem 7. Consider the following table formed by a population of 70. AB X 22 17 Y 18 13 Part A. Find P(A), P(B), P(X), P(Y). Part B. Find the probability of X n B and XU B. Part C. Find the conditional probability of P(X|A) and P(B|Y).

Problem 7. Consider the following table formed by a population of 70. AB X 22 17 Y 18 13 Part A. Find P(A), P(B), P(X), P(Y). Part B. Find the probability of X n B and XU B. Part C. Find the conditional probability of P(X|A) and P(B|Y).

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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