Please see http://www.isye.gatech.edu/people/faculty/Robert_Foley/classes/2027/hmwk2.pdf for the fully formatted problems.

Probability: This is where the homework 2 is found. I couldn't attach the files for some odd reason. But I ONLY NEED HELP ON PROBLEM # 2, 3, AND 4.

2. Let the sample space be S = {1, 2, 3, 4, 5}. Define Ak = {k} and Bk = {k, k+1, . . . , 5} for k = 1, . . . , 5.
Suppose Pr(Ak) = ck for k 2 S. Determine the value of c. Compute Pr(Ak) and Pr(Bk) for k 2 S.
3. Let the sample space be S = {0, 1, 2, . . . }. Define Ak = {k} and Bk = {s 2 S|s k} for k 2 S.
Suppose Pr(Ak) = c6k/k! for k 2 S. Determine the value of c. Compute Pr(A0) and Pr(B1).
4. Let the sample space S be the (strictly) positive integers. Let Ak = {k} for k 2 S. Suppose Pr(Ak) =
c(1/6)k for k 2 S. Determine c and Pr(A1).

Please see the attached file for the full solution.

Thanks for using BrainMass.

2. Solution. Since Ak={k}, k=1,3,5,6 and Pr(Ak)=ck. We therefore have
Pr(A1)=c, Pr(A3)=3c, Pr(A5)=5c and Pr(A6)=6c. Thus,
Pr(A1)+Pr(A3)+Pr(A5)+Pr(A6)=c+3c+5c+6c=14c .........(1)
Since the sample space S={1,3,5,6}=A1 A3 A5 A6, (1) will be
...

Solution Summary

Probability problems are solved. The solution is detailed and well presented.

Simple Probability, Sample Spaces, Events. A couple has three children, assume the likelihood of a boy is the same as a girl: List sample space: {BBB,BBG,BGG,GGG ...

... Since there are 6 probabilities while rolling a die, we can show the sample space as below ... The solution solves for the sample spaces and the probabilities. ...

... such that the measure of the whole space is equal to 1. In other words, a probability space is a triple consisting of a set (called the sample space), a σ ...

... solution provides explanations for various probability questions ... can produce one or more sample spaces depending on ... heads, five heads} Not a valid sample space. ...

... What should the contestant do? The probability space includes all events within a sample space, and the probability associated with this event. ...

... c. List the sample space. d. Determine the exact probability of creating a mini license plate with a 3. Give solution exactly in reduced fraction form. ...