**Educational Resource: Probability and Statistics****Overview:**This is an analysis of a group's test results, divided by grades (A, B, C) and gender (male, female). The table summarizes the results:| | A | B | C | Total ||-------|---|----|----|-------|| Male | 2 | 15 | 19 | 36 || Female| 3 | 9 | 14 | 26 || Total | 5 | 24 | 33 | 62 |**Probability Questions:**1. **Find the probability that the student received a C in the class.** - Calculation: \(\frac{\text{Total C}}{\text{Total Students}}\)2. **Find the probability that the student is a male.** - Calculation: \(\frac{\text{Total Males}}{\text{Total Students}}\)3. **Find the probability that the student was a male and received a C in the class.** - Calculation: \(\frac{\text{Male C}}{\text{Total Students}}\)4. **Find the probability that the student received an A in the class, given they are female.** - Calculation: \(\frac{\text{Female A}}{\text{Total Females}}\)5. **Find the probability that the student is a female given they received an A in the class.** - Calculation: \(\frac{\text{Female A}}{\text{Total A}}\)6. **Find the probability that the student is a female and received an A in the class.** - Calculation: \(\frac{\text{Female A}}{\text{Total Students}}\)7. **Find the probability that the student received an A given they are male.** - Calculation: \(\frac{\text{Male A}}{\text{Total Males}}\)8. **Find the probability that the student received an A and they are male.** - Calculation: \(\frac{\text{Male A}}{\text{Total Students}}\)Use this data to further understand the relationship between gender and performance in this group of students by calculating the requested probabilities.

Giving a test to a group of students, the grades and gender are summarized below A с Male 2 15 19 14 Total 5 24 33 B5 Female 3 9 Total 36 26 62 If one student is chosen at random: a. Find the probability that the student received a(n) C in the class. b. Find the probability that the student is a male. c. Find the probabilty that the student was a male and recieved a(n) C in the class. d. Find the probability that the student received a(n) A in the class, given they are female. e. Find the probability that the student is a female given they received a(n) A in the class. f. Find the probability that the student is a female and received a A in the class. g. Find the probability that the student received an A given they are male. h. Find the probability that the student received an A and they are male.

Giving a test to a group of students, the grades and gender are summarized below A с Male 2 15 19 14 Total 5 24 33 B5 Female 3 9 Total 36 26 62 If one student is chosen at random: a. Find the probability that the student received a(n) C in the class. b. Find the probability that the student is a male. c. Find the probabilty that the student was a male and recieved a(n) C in the class. d. Find the probability that the student received a(n) A in the class, given they are female. e. Find the probability that the student is a female given they received a(n) A in the class. f. Find the probability that the student is a female and received a A in the class. g. Find the probability that the student received an A given they are male. h. Find the probability that the student received an A and they are male.

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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