# 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 .