1. Choose a number at random from the set of numbers from the set of numbers {1,2,3,4,5}. Now choose a number from the subset {1,...,X). Call this second number Y.
a) Find the joint p.m.f. of X and Y
b) Find the conditional mass function of X given that Y = i. Do it for i = 1,2,3,4,5
c) Are X and Y independent? Why?

1. Choose a number at random from the set of numbers from the set of numbers {1,2,3,4,5}. Now choose a number from the subset {1,...,X). Call this second number Y.
a) Find the joint p.m.f. of X and Y
b) Find the conditional mass function of X given that Y = i. Do it for i = 1,2,3,4,5
c) Are X and Y independent? Why?

3 In a simple random sample of 1000 households, 150 households happen to own a barbecue grill. Based on the characteristics of the population, the expected number of grill owners in the sample was 180. What are the values of pie, p, and n?
4 For a population of five individuals, television ownership is as follows:

The probability that a flower seed will germinate is 0.7. Find the mean and standard deviation for the random variable x, the number of seed that will germinate in each set. Seeds are planted in sets of 11.

1. Without writing them all out, what is the number of subsets of set A ={king, queen, knight, prince, princess, duke}?
2. Given these elements of sets A, B, and C list the elements of set D. Show your work step by step.
A = {1, 2, 3, 4}
B = {3, 4, 5, 6, 7}
C = {3, 5, 7, 9}
D = A intersected with (B U C)

A random sample of n=31 households is asked the number of TV sets in the household. The responses are
1 0 2 3 2 3 4 2 1 1 2
4 3 2 3 3 0 1 0 1 3 2
4 3 2 1 4 0 1 2 3
What is the mean number of TVs?
What is the standard deviation?
What is the best estimate for the mean number of TVs for the population of all American househo

Simulate 10000 of X and Y random variables using excels Data Analysis package where both X and Y are normal with mean = 20 and standard deviation = 5.
Show, using simulations, that the variables Z= min(X,Y) and W=max(X,Y) are NOT normally distributed.
Y any interest?C

1) A poll states that 30% of the workers in a large company have new desks. If 6 workers are selected at random, what is the probability that at least one worker has a new desk?
2) In a shipment of 20 televisions, 5 are defective. If 2 television sets are randomly selected and tested without replacement, what is the probabili

This question has 3 parts:
a) Write a computer program using MATLAB to generate randomnumbers. Use your program to generate, say, 100,000 randomnumbers. How long did the computer take to generate the randomnumbers? Roughly how long does it take for the computer to generate a single randomnumber?
b) Using a sample of th

See the attached file.
Write a program to check out how good my new randomnumber generator generates numbers. A good generator produces evenly distributed numbers over some range. Determine how well these numbers are dispersed between 1 and 100.
generate 10,000 randomnumbers between 1 and 100 and count how many times eac