Question

1. A sample of 6 voters to be randomly drawn from the U.S population, when 50% vote Republican. a. The number of Republican voters in this sample can vary from 0 to 6. Find its probability distribution. b. Calculate the mean and standard deviation. c. Use the binomial mean and variance formula to verify your results in b. d. What is the probability of exactly 2 Republican voters in the sample? Use the following table to do part a and part b

s p(s) s*p(s) s-µ (s-µ)^2 (s-µ)^2*p(s)

0

1

2

3

4

5

6

µ= σ^2= σ= 2.

Given Z is a standard normal distribution, find the following.

Pr(-1<Z<1)

Pr(-2<Z<2)

Pr(Z<-1.85)

Pr(-1.65<Z<2.55)

Given X~N(2,9), find the following.

Pr(-1<X<5)

Pr(-4<X<8)

Pr(X<0)

Pr(X>3.5)

Answer 1