Distributions of Random Variables...

[MBH_14]

Here is the question.....I am asking to see if i am right or if there is something i need to change:

The Big Texan Restaurant in Amarillo is famous for being the home of the free 72-ounce steak-anyone who can eat the entire 72 ounces of meat and all the extras in less than an hour gets the meal for free. Let the random variable X denote the number of ounces of steak that a person having this meal is able to eat.

(a) What are the possible values of X?
i have 0<or = x<or = 72.

(b) Is X a finite discrete, infinite discrete, or continuous random variable?
For this, I am thinking finite discrete, but could it be continuous? I am thinking no since it stops at 72, but want to make sure i am interpreting this correctly.

So, am i right with this problem? Thanks for any help!

 

[royhaas]

Conceivably the possible values can be any number between 0 and 72 ounces, and strictly zero outside this range. So it is a continuous r.v.

Note that for a continuous r.v., the probability that it equals a specific value is zero, so we only talk about the probability of finding the probability that the variable is in some interval, e.g., Pr( 36 < X < 70).