Question
need answer. please do not post answer in an image format.
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 P(X) .34 .29 .19 12 .06 2. Use the binomial formula to compute the probability of a student getting 5 correct answers on a 8 question Quiz, if the probability of answering any one question correctly is 077 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 sam ple of 20 children Selected a) what is the probability that 5 or more live in poverty? b) whal is the probablty that 4 lve in poverty? c) what is the expected number mean) that live in povorty?
Explanation / Answer
Q1.
f= 1
fx = 2.27
Mean = fx / f = 2.27
Mean square = f x^2 / f = 6.63
Varriance = (Mean square) - (Mean)^2
Varriance = f x^2 - Mean^2 = 1.477
Stadard Dev= Var = 1.215
Values ( X ) P(X) fx ( X^2) f x^2 1 0.34 0.34 1 0.34 2 0.29 0.58 4 1.16 3 0.19 0.57 9 1.71 4 0.12 0.48 16 1.92 5 0.06 0.3 25 1.5
