Find: (a) a.X = 01p(y)Y =01 2.10 .25 .25.05 a .25p(x)(b) The marginal probabilities for X and Y.(c) P(Y= 1/X = = 1).

Solution: We need to find the value of constant a and the marginal probabilities for X and Y

Answered: Y = 0 1 2 X = 0 .10 .25 .25 1.05 a .25…

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

Using the info obtained above, continue with the following questions:
(d) Stating any general results that you appeal to, deduce the following: i. Y is positive recurrent, ii. the distribution of Y after it has been running for a very long time, iii. the long-term proportion of time spent in each of the states, iv. the average time, E;T;, for Y to first return to each state i, v. the long-term average value of f(Xn), where ƒ : I → R is a function with ƒ(A) = 1, ƒ(B) = 2, ƒ(C) = 3, ƒ (D) 4, ƒ (E) = 5, ƒ (F) = f(G) = f(H) = 6, = vi. starting initially in state B, what is the average number of visits made to state C before first returning to B.
x is a gaussian random variable with a PDF as described above, where μ is the mean, σ is the standard deviation , and Fx(X) refers to the cumulative distribution function CDF. It is known that Fx(-0.7) = 0.500 and Fx(1.3)=0.841, what value of Xo do we find the probability Fx(Xo) = P(X<Xo) = 0.023 ?
Suppose that a decision maker's risk atitude toward monetary gains or losses x given by the utility function(x) = (50,000+x) 34/2. Suppose that a decision maker has the choice of buying a lottery ticket for $5, or not. Suppose that the lottery winning is $1,000,000, and the chance of winning is one in a thousand. Then..... O The decision maker should not buy the ticket, as the utility from not buying is 223.6, and the expected utility from buying is 223.59. The decision maker should not buy the ticket, as the utility from not buying is 223.6067, and the expected utility from buyingis 223.6065. O The decision maker should buy the ticket, as the utility from not buying 223.60, and the utility from buying is 224.4. The decision maker should buy the ticket, as the utility from not buying 223.6065, and the utility from buying is 223.6067.
Y has a distribution function (0, ys0, 24 F(y) = 0
A Consider that the variables X and Y have the following joint probability distribution. 1. 3. 0.05 0.05 0.00 0.05 0.10 0.20 0.10 0.35 0.10 (a) Find the marginal distribution of X (b) Find the marginal distribution of Y (c) Determine if X and Y are statistically independent. (d) Find P(Y = 1|X = 3).
Find the standard deviation. Р(x) | x*Р(x) (x - 4)°P(x) 2 0.1 2(0.1) = 0.2 4 0.3 4(0.3) = 1.2 6 0.4 6(0.4) = 2.4 8 0.2 8(0.2) = 1.6 00
I need help with C and D
(b) Determine the marginal distributions of X and then of Y. (c) Find the conditional distribution of Y|X = x.
Q.7 For an exponential distribution fx(x; p) = (ue H, x20 %3D e. w. where u > 0 Write (Don't derive) (a) Mean (expected value), i.e. E(X). (b) Standard deviation, i.e. S.D. (X). (c) Moment generating function, i.e. Mx(t). (d) Cumulative distribution function (cdf), Fx(x). of Nizv
Suppose that X and Y have the joint probability distribution shown to the right. (a) Find the marginal distribution of X. (b) Find the marginal distribution of Y. y f(x,y) 2 X 4 1 0.022 0.198 35 3 0.05 0.45 5 0.028 0.252
Q6

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

Y = 0 1 2 X = 0 .10 .25 .25 1.05 a .25 p(v) p(x) Find: (a) a. (b) The marginal probabilities for X and Y. (c) P(Y = 1/X = 1).