SOLUTION: From a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of men in the delegation??? I answered (which I am not at all sure about) P(men)

Question 237694: From a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of men in the delegation???
I answered (which I am not at all sure about)
P(men) = (3)(2) = 6
P(women) = (4)(2) = 8
6/8 = 3/4
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
From a group of 3 men and 4 women, a delegation of 2 is selected. What is the expected number of men in the delegation???
----------------------
Let random variable "x" be the number of men in the delegation.
x values are 0 , 1 , 2, 3
---
The corresponding probabilities are:
P(x=0) = 3C2/7C2 = 3/21
P(x=1) = 3C1*4C1/7C2 = 12/21
P(x=2) = 3C2/7C2 = 3/21
P(x=3) = 3C2/7C2 = 3/21
-------------------------------
To get the expected value, multiply each random number value
by its probability and add.
------------------
E(x) = [0*3 + 1*12 + 2*3 + 3*3]/21
E(x) = 27/21 = 1.29
You can expect there will be 1.29 men in the delegation.
=========================================================
Cheers,
stan H.
RELATED QUESTIONS
A group of 2 women and 5 men decide to send a delegation to their supervisor to discuss... (answered by Theo)

We have 20 women and 15 men. We want to form a delegation of 5 people. That delegation (answered by Edwin McCravy)

Seven workers decided to send a delegation of 2 to their supervisor to discuss their... (answered by edjones)

A group of 9 workers decide to send a delegation of 3 to their supervisor to discuss... (answered by stanbon)

Can someone please assist with b and c. I cannot figure out the formula. 1.... (answered by drk)

I just need help with letter C and please do a step by step explanation. A group of... (answered by ikleyn)

What is the expected number of men on a six-member jury randomly chosen from 10 women and (answered by MathLover1)

. A committee of 4 people is to be selected from a group of 5 men and 7 women. If the... (answered by ikleyn)

3. A group consists of 4 men and 3 women. a) In how many ways can 3 people be selected (answered by nerdybill)