# Lesson Worksheet: Continuous Random Variables Mathematics

In this worksheet, we will practice describing the probability density function of a continuous random variable and using it to find the probability for some event.

Q1:

Let be a continuous random variable with probability density function Find .

• A0
• B
• C
• D

Q2:

Let be a continuous random variable with probability density function Find .

• A
• B
• C
• D

Q3:

Let be a continuous random variable with the probability density function represented by the following graph. Find .

• A
• B
• C
• D
• E

Q4:

Let be a continuous random variable with the probability density function , represented by the following graph. Find . • A
• B
• C
• D
• E

Q5:

Let be a continuous random variable with the probability density function Find .

• A
• B
• C
• D

Q6:

Let be a continuous random variable with probability density function Find .

• A
• B
• C
• D0

Q7:

Let be a continuous random variable with probability density function Determine the value of .

• A12
• B
• C
• D

Q8:

Let be a continuous random variable with probability density function Find the value of .

Q9:

Let be a continuous random variable with the probability density function Find .

• A
• B7
• C
• D

Q10:

Let be a continuous random variable with the probability density function , represented by the following graph. Find the value of that makes . 