Assignment ID: FG133082282
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. Show Your Calculations for the Mean.
X 1 2 3 4 5
P(X) .29 .42 .19 .07 .03
Question 2: Use the binomial formula to compute the probability of a student getting 8 correct answers on a 10 question Quiz, if the probability of answering any one question correctly is 0.76. SHOW YOUR WORK.
Question 3: Submit your answers to the following binomial questions. You may use the appendix table B.1 to answer parts (a) and (b). According to a government study, 20% 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 5 or more live in poverty?
b) What is the probability that 5 live in poverty?
c) What is the expected number (mean) that live in poverty? What is the variance? What is the standard deviation
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