# Worksheet: Continuous Random Variables

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.

**Q3: **

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

- A0
- B
- C
- D

**Q4: **

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

- A
- B
- C
- D0

**Q5: **

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

- A
- B
- C
- D

**Q6: **

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

- A
- B
- C
- D

**Q7: **

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

- A
- B
- C
- D

**Q8: **

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

- A
- B
- C
- D10

**Q9: **

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

**Q10: **

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

- A
- B
- C
- D

**Q11: **

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

- A
- B
- C
- D

**Q12: **

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

- A12
- B
- C
- D

**Q13: **

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

- A4
- B
- C
- D

**Q14: **

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

- A
- B1
- C
- D

**Q15: **

Let be a continuous random variable with probability density function Given and , determine the value of .

**Q16: **

Let be a continuous random variable with probability density function Given and , determine the value .

**Q17: **

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

- A
- B
- C
- D

**Q18: **

Let be a continuous random variable with probability density function Given that , find the value of .

**Q19: **

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

- A
- B0
- C
- D

**Q20: **

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

- A
- B
- C
- D

**Q21: **

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

- A
- B
- C
- D

**Q23: **

Let be a standard normal random variable. Determine , given that .

**Q24: **

Suppose that is a standard normal random variable. Given that , find using the standard normal distribution table.

**Q25: **

Suppose is a standard normal random variable. Given , find the value of .