# The following probability distribution represents the number of people living in a Household

August 30, 2017

Question
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 6 7

P(X) .22 .35 .18 .13 .07 .03 .02

2. Use the binomial formula to compute the probability of a student getting 3 correct answers on a 7 question Quiz, if the probability of answering any one question correctly is 0.83.

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 15 children is selected:

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

b) what is the probability that 3 live in poverty?

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

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