The writer is very fast, professional and responded to the review request fast also. Thank you.
Book/movie review
22/08/2022
PSTAT 109: Quiz 3
Winter 2014
Instructions: Please show all work in an organized fashion for full credit.
Problem 1. Let = f1; 2; 3g, and consider the family of subsets A of :
A = f;;; f1; 2g; f2; 3g; f2g; f1; 3gg:
Explain why A is not a sigma-algebra.
Problem 2. If A and B are subsets of sample space , show that
P(A B) P(A) P(A [ B) P(A) + P(B):
Problem 3. A psychologist determined that the number of sessions required to obtain the
trust of a new patient is either 1, 2, or 3. Let X be a random variable indicating the number
of sessions required to gain the patients’s trust. The following probability distribution has
been proposed.
f(x) =
x
6
;
for x = 1; 2; or 3.
a. Write the probability distribution in the form of a table, similar to the ones found on
Lecture 5. Check if this function f is indeed a probability distribution.
b. What is the probability that it takes exactly 2 sessions to gain the patient’s trust?
c. What is the probability that it takes at least 2 sessions to gain the patient’s trust?
d. Calculate the expected value E(X) and variance V ar(X).
e. Suppose we dene a new random variable Y as
Y = 1[X=1] =
(
1; if X = 1;
0; if X 6= 1:
Write the probability distribution of Y in the form of a table, and interpret the meaning
of this random variable.
f. Calculate E(Y ) and V ar(Y ).
The writer is very fast, professional and responded to the review request fast also. Thank you.
Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.
You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.
Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.
Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.
Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.
Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.
Read more