Explore BrainMass
Share

Probability from a Joint Probability Distribution Function

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Five independent observations are drawn from the pdf, f(t) = 2t, 0<=t<=1. X is a random variable that denotes the number of t's that fall in the interval 0<=t<1/3. Y is a random variable that denotes the number of t's that lie in the interval 1/3<=t<2/3. Find p(x,y)=p(1,2).

© BrainMass Inc. brainmass.com March 21, 2019, 12:08 pm ad1c9bdddf
https://brainmass.com/statistics/probability/probability-joint-probability-distribution-function-59715

Attachments

Solution Preview

For a cleaner, more detailed solution, please see attached Word document.

The key to solving this problem is to recall the formula for p(x,y). In our example, we have 5 independent trials, each ending in one of three possible outcomes. The three outcomes are that any given t can ...

Solution Summary

A step-by-step solution is provided. The detailed solution shows how to take a joint pdf and calculate a probability. A simple example using a continuous pdf illustrates the process.

$2.19