# 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
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- 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
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- D

**Q11: **

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

- A
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- 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
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- 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
- B0
- C
- D
- E

**Q21: **

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

- A
- B
- C
- D

**Q22: **

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

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- E

**Q23: **

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

- A
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- D
- E

**Q24: **

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

- A
- B1
- C
- D
- E

**Q25: **

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