Math 2311 Written Homework 3 (Sections 3.1-3.2)

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Instructions:

• Homework will NOT be accepted through email or in person. Homework must be submitted through CourseWare BEFORE the deadline.

• Print out this file use or software and complete the problems. • Write in black ink or dark pencil or type your solutions in the space provided. You must show all

work for full credit. • Submit this assignment at http://www.casa.uh.edu under "Assignments" and choose hw3. • Total possible points: 15

1. Section 3.1, Problem 2

2. Section 3.1, Problem 4

3. Section 3.1, Problem 6

4. Section 3.1 Problem 18

5. Section 3.1 Problem 20

6. In the following distribution, P(X < 2) = 0.35, and expected value is 1.8

a. Use the fact that P(X < 2) = 0.35 to find the value of P(X = 1) b. Use the fact that the total probability is equal to 1 to create a formula

for P(X = 3) in terms of P(X = 4). c. Use the fact that the expected value is 1.8 (along with your answer from Part B) to create a formula

in terms of P(X = 4). [Parts c, d, and e will involve solving a system of equations.] d. Determine the value of P(X = 4). e. Determine the value of P(X = 3).

_____________________________________________________________________________________ 7. Section 3.2, Problem 4

8. Section 3.2, Problem 12

9. Section 3.2, Problem 14

10. A 6-sides die is rolled three times. Part a: Construct the probability distribution table for the number of times the die will land on 6. Part b: Determine the expected number of times the die should land on 6.