The joint probability mass function of X and Y is given byp(1,1) — 0.45 p(1,2) — 0.05 р(1,3) — 0.05p(2, 1) = 0.05 p(2,2) = 0.1p(3, 1) = 0.05 p(3, 2) = 0.1%3Dp(2, 3) = 0.05p(3, 3) = 0.1%3D%3DCompute the following probabilities:P(X+Y > 3) =P(XY = 2) =P( > 1) =

We have to find given probabilities on the basis of joint PMF of random variables X and Y.

Answered: Compute the following probabilities:…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

1. Determine the requested probabilities. -2 -1 1 2 f(x) 0.2 0.4 0.1 0.2 0.1 a) P(xs 2) b) P(x > -2) c) P(-1 sx< 1) d) P(x = 2 or xs-1)
assume that Pr[A] = 0.45, Pr[B] = 0.35, and Pr[A n B] = 0.25. Compute the following conditional probabilities: (1) Pr[A|B] = (2) Pr[B|A] =
1. Answer the following questions using the probability tree below: .2 .3 X .3 .8 a Y (a) What is the value of z? (b) What is the probability of X occurring? (c) What is Pr[Xa] (Note: Pr[Xa] = Pr[X and a].) (d) What is Pr[X_or a]? (e) What is Pr[a|X]? (f) What is Pr[c]?
Rohan appeared in a job interview for the position of a Portfolio Analyst. The interviewer asked jim - Assume that a group of securities has the following characteristics:(a) the standard deviation of each security is equal to σA ; (b) covariance of returns σ AB is equal for each pair of securities in the group. What is the variance of a portfolio containing six securities which are equally weighted?
A branch of a certain bank has six ATMs. Let X represent the number of machines in use at a particular time of day. The cdf of X is as follows: F(X) = (b) Calculate the following probabilities directly from the cdf: (a) p(2), that is, P(X = 2) (c) 0 x 3) P(2 ≤x≤5) P(2 < X <5)
The profits of a mobile company are normally distributed with Mean of R.O (180) and standard deviatic of R.O (8). a. Find the probability that a randomly selected mobile has a profit greaterthan R.O ( 190). b. Any mobile phone which profit is greater than R.O (190) is defined as expensive. Find the probability that a randomly selected mobile has aprofit greaterthan R.O ( (200) given that it is expensive. Half of expensivemobile phones have aprofit greaterthan R.O h. Find the value of h. C.
Calculate the following probabilities in two decimal places: (a) Y is distributed x 1. Then, Pr( Y>9.49) = (b) Y is distributed to. Then, Pr( Y> -0.5) = (c) Y is distributed F4,- Then, Pr( Y 696 or Y<304) =
Problem 1
Of 9 randomly selected male students, Xj used Apple computer, whereas of 12 randomly selected female student, X2 used Apple computer. Let: p1 and p2 denote the probabilities that a randomly selected male and female students, respectively, played tennis. what is unbiased estimator of P1 - P2 ? X2 Da. 7+ 12 X1 X2 Ob. 49 144 X2 12 X1 Od. 49 X2 144
Find the probabilities or area of P(0<z<1.65).
(b) Let X~N(40,144) and if Y = 2X – 1 Find the following probabilities: (i) P(X 50) (iii)P(35 < X < 45),(iv)P(-45 < Y < 45).(v)P(-50 < Y < 100)
2. Use the normal approximation to the binomial with n=10 and p=0.5 to find the probability P(X27)

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

Compute the following probabilities: P(X+Y > 3) P(XY = 2) = P( > 1) =|