1. The following probability distribution represents the number of people living in a Household (X), and the probability of occurrence (P(X)). Compute the Expected Value (mean), the Variance and the Standard Deviation for this random variable.

X 1 2 3 4 5

P(X) .34 .29 .18 .12 .07

2. Use the binomial formula to compute the probability of a student getting 4 correct answers on a 9 question Quiz, if the probability of answering any one question correctly is 0.77. **SHOW YOUR WORK.**

3. Submit your answers to the following binomial questions. You may use the appendix tables 5 to answer parts a and b. According to a government study,15% of all children live in a household that has an income below the poverty level. If a random sample of 20 children is selected:

a) what is the probability that 4 or more live in poverty?

b) what is the probability that 4 live in poverty?

c) what is the expected number (mean) that live in poverty?