How many different values are possible for the random variable X?

Question

involving the selection of two students from a committee of students. Assume that the committee is made up of 2 males and 5 females. Two are selected at random, and a random variable X is defined to be the number of females selected.
How many different values are possible for the random variable X?

Answer 1

involving the selection of two students from a committee of students. Assume that the committee is made up of 2 males and 5 females. Two are selected at random, and a random variable X is defined to be the number of females selected.
How many different values are possible for the random variable X?

 

Step 1) If you have 2 makes and 5 females, how many different ways can the 2 selected positions be filled?

F & F

F & M

M & M

 

Step 2) How many females can possibly be selected?

F & F  tells us that x = 2
F & M tells us that x = 1
M & M tells us that x = 0.

So there are 3 possible numbers for x.

 

Does this make sense?