Math

StatisticsQ&A LibraryA box contains three cards, labeled 1, 2, and 3. Two cards are chosen at random, with the first card being replaced before the second card is drawn. Let X represent the number on the first card, and let Y represent the number on the second card. Assume the first card is not replaced before the second card is drawn. a) Find the joint probability mass function of X and Y. b) Find the marginal probability mass functions pX(x) and pY(y). c) Find µX and µY. d) Find µXY. e) Find Cov(X,Y).Question

Asked Feb 20, 2020

18 views

A box contains three cards, labeled 1, 2, and 3. Two cards are chosen at random, with the first card being replaced before the second card is drawn. Let X represent the number on the first card, and let Y represent the number on the second card. Assume the first card is not replaced before the second card is drawn. a) Find the joint probability mass function of X and Y. b) Find the marginal probability mass functions p_{X}(x) and p_{Y}(y). c) Find µ_{X} and µ_{Y}. d) Find µ_{XY}. e) Find Cov(X,Y).

Step 1

**Note:**

Hey, since there are multiple subparts are posted, we will answer first three subparts for you. If you want any specific subpart to be answered, then please submit that subpart only or specify the subpart number in your message.

**For calculating probability mass functions, we are considering ****first card being replaced before the second draw****. **We have tried our best to solve this problem.

Step 2

**a)**

A box contains three cards labeled 1, 2, and 3.Two cards are drawn at random, with the first card being replaced before the second draw. Let X denotes that the number on the first card and Y be the number on the second card.

The joint probability mass function of X and Y ...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Part d

A: Given data represents the experience and sales of a random sample of seven new salespeople. d.To plo...

Q: A survey found that women's heights are normally distributed with mean 63.863.8 in and standard dev...

A: Click to see the answer

Q: Bootstrap Sample Here is a random sample of taxi-out times (min) for American Airlines flights leavi...

A: Bootstrap sample is the sample which is drawn from the given random sample with replacement.

Q: Survey Return Rate In a study of cell phone use and brain hemispheric dominance, an Internet survey ...

A: Given info: In an internet survey of an online group involved with ears, 717 surveys returned out of...

Q: Out of 500 people sampled, 195 preferred Candidate A. Based on this, estimate what proportion of the...

A: Click to see the answer

Q: The incubation time for a breed of chicks is normally distributed with a mean of 26 days and standar...

A: (a) The 68-95-99.7% (Empirical) Rule: For a normal distribution, the empirical rule (68-95-99.7% Rul...

Q: Yawning and Fisher’s Exact Test In one segment of the TV series MythBusters , an experiment was cond...

A: a. Among the 34 subjects were exposed to yawning, 10 of them yawned and among the 16 subjects were n...

Q: The lifetime of a lightbulb in a certain application is normally distributed with mean μ = 1400 hour...

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case yo...

Q: Highway Speeds Listed below are speeds (mi/h) measured from southbound traffic onI-280 near Cuperti...

A: The value of mean is obtained as follows: