Hello, whoever is answering my questions are giving me incorrect answers. AAA www-awn.aleks.comPf Sign Off SuccessfulBb Week 7 - MAT30045...Bb Week 7 - MAT30045...A ALEKS - Shasia Gibb...O PROBABILITYShasia vProbabilities of draws without replacementA his.y class is comprised of 4 female and s male students. If theinstructor of the class randomly chooses 7 students from the class for anoral exam, what is the probability that 3 female students and 4 malestudents will be selected? Round your answer to 3 decimal places.(If necessary, consult a list of formulas.)ExplanationCheck2021 MCGraw-FIIIL EQucation. All Rights Reserved. Terms of Use | Privacy | AccessibilityG 回国回II

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Answered: A his.y class is comprised of 4 female…

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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O PROBABILITY
Shasia v
Probabilities of draws without replacement
A his.y class is comprised of 4 female and s male students. If the
instructor of the class randomly chooses 7 students from the class for an
oral exam, what is the probability that 3 female students and 4 male
students will be selected? Round your answer to 3 decimal places.
(If necessary, consult a list of formulas.)
Explanation
Check
2021 MCGraw-FIIIL EQucation. All Rights Reserved. Terms of Use | Privacy | Accessibility
G 回国回
II

Expert Solution

Step 1

There are 4 females and 5 males, so total number of students are $4 + 5 = 9$ . Among these 9 students 7 are selected randomly. So the total number of possible outcomes will be equal to number of ways to select 7 students out of 9 students.

The number of ways to select r objects from n objects is computed by ${}^{n}C_{r} = \frac{n!}{r! (n - r)!}$ .

Substitute $n = 9 and r = 7$ in the above mentioned formula to find the total number of outcomes.

$\begin{array}{rcl} Total possible outcomes & = & {}^{9}C_{7} \\ = & \frac{9!}{7! (9 - 7)!} \\ = & \frac{9 \cdot 8 \cdot 7!}{7! \cdot 2!} \\ = & 36 \end{array}$

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