{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Random Variables Example Problems

# Random Variables Example Problems - Random Variables...

This preview shows pages 1–2. Sign up to view the full content.

Random Variables – Examples 1. Let X be the number of televisions in an apartment, to be randomly selected in a small town. Suppose that X has probability mass function: x 0 1 2 p ( x ) 0.2 0.7 0.1 (a) Compute the mean/expected value of X . (b) What is the probability that this apartment will have at most 2 televisions? (c) What is the probability that this apartment will have either exactly 0 televisions or exactly 2 televisions? 2. Let X be the amount of time (in minutes) it will take to complete and hand-in an exam (where the exam must be handed-in no later than 50 minutes from the start). Suppose that X has a probability density function (pdf): f ( x ) = 1 20 if 30 x < 50 0 otherwise (a) Compute the probability this exam will be handed-in before 20 minutes have passed. (b) Compute the probability this exam will be handed-in when exactly 30 minutes have passed. (c) Compute the probability this exam will be handed in before 32 minutes have passed.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

Random Variables Example Problems - Random Variables...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online