A continuous random variable $X$ has the probability density function $f (x) = \frac{3}{4} x (2 - x)$ for $0 \leq x \leq 2$ , and $0$ elsewhere. What is the conditional probability $P (X > 1 ∣ X > 0.5)$ ?

Practise more Probability.

Free questions with an explanation for every one, and full timed GATE mock tests.

All Probability questions Take a mock test

More Probability questions

Two fair dice are thrown. What is the probability that the sum of the numbers is $7$ ?
Two fair dice are thrown. What is the probability that the sum of the numbers is $9$ ?
Two fair dice are thrown. What is the probability that the sum of the numbers is $4$ ?
Two fair dice are thrown. What is the probability that the sum of the numbers is $10$ ?
Two fair dice are thrown. What is the probability that the sum of the numbers is $11$ ?
Two fair dice are thrown. What is the probability that the sum of the numbers is $5$ ?