S412 Let be a discrete random variable with probability mass function 1 for 1 2

# S412 let be a discrete random variable with

• 8

This preview shows page 5 - 8 out of 8 pages.

S4.12 Let be a discrete random variable with probability mass function 1 ! for 0 1 2 . . . Then 1 equals (A) 1 (B) 1 1 (C) 1 2 1 (D) 1 (E) none of the above. S4.13 You have two light bulbs. The life length of each bulb (in hours) is a continuous random variable with probability density function 2 2 if 0 0 otherwise The two bulbs are allowed to burn independently of each other. The proba- bility that both bulbs will each last at least one hour is (A) 0 (B) 1 2 2 (C) 4 (D) 2 2 (E) none of the above.
Self-Test Exercises for Chapter 4 97 S4.14 Let be a continuous random variable with cumulative distribution function 0 if 1 1 2 1 if 1 1 1 if 1 Let denote the probability density function for . The value of 0 is (A) 0.00 (B) 0.50 (C) 0.75 (D) 1.00 (E) none of the above. S4.15 Let be a random variable with cumulative distribution function . Suppose 0 0 3 and 1 0 5. Then 0 1 equals (A) 0 (B) 0.2 (C) 0.3 (D) 0.5 (E) none of the above. S4.16 Let be a continuous random variable with probability density function 3 2 if 0 1 0 otherwise Let denote the expected value of . The value of is (A) 0 (B) 3/8 (C) 3/4 (D) 3/2 (E) none of the above.
98 Self-Test Exercises for Chapter 4 S4.17 Suppose that an integrated circuit has a life length (in units of 1000 hours) that is a continuous random variable with probability density function 3 3 if 0 0 otherwise An integrated circuit considered defective if its life length is less than 3000 hours. The life lengths of any two integrated circuits are independent random variables. A batch of 100 integrated circuits are tested. The expected number

#### You've reached the end of your free preview.

Want to read all 8 pages?

• Spring '17
• Probability distribution, Probability theory, probability density function, Cumulative distribution function, Probability mass function

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern