HomeworkLib
Question

13. If the events X and Y are independent and P(X) = .4 and P(Y) = 5, what does P(XY) equal? (2) What is the probability of X or Y. (2) What is the conditional probability of Y given X? (2) If the events X and Y are independent and P(X) = .4 and P(Y)-3, what is the conditional probability of Y given X?(2) #4

business   economics   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

3.

P(X) = .4

P(Y) = .5

P(XY) = P(X) * P(Y) = .4*.5 = .20

P(X or Y) = P(X) + P(Y) = .4 + .5 = .9

P(Y/X) = P(XY)/P(X) = .2/.4 = .5

4.

P(Y/X) = P(XY)/P(X) = (.4*.3)/.4 = .3

0 0
Add a comment
Know the answer?
Add Answer to:
13. If the events X and Y are independent and P(X) = .4 and P(Y) =...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 1. If two events are independent how do we calculate the and probability, P(E and F),...

    1. If two events are independent how do we calculate the and probability, P(E and F), of the two events? (As a side note: this "and" probability, P(E and F), is called the joint probability of Events E and F. Likewise, the probability of an individual event, like P(E), is called the marginal probability of Event E.) 2. One way to interpret conditional probability is that the sample space for the conditional probability is the "conditioning" event. If Event A...

  • Q.1.2 Events X and Yare such that) =0.45 and P(XuY)=0.85. Given that X and Y are independent and ...

    Q.1.2 Events X and Yare such that) =0.45 and P(XuY)=0.85. Given that X and Y are independent and non-mutually exclusive, determine P(Y). Q.1.2 Events X and Yare such that) =0.45 and P(XuY)=0.85. Given that X and Y are independent and non-mutually exclusive, determine P(Y).

  • Let X and Y be jointly continuous random variables with joint probability density given by f(x,...

    Let X and Y be jointly continuous random variables with joint probability density given by f(x, y) = 12/5(2x − x2 − xy) for 0 < x < 1, 0 < y < 1 0 otherwise (a) Find the marginal densities for X and Y . (b) Find the conditional density for X given Y = y and the conditional density for Y given X = x. (c) Compute the probability P(1/2 < X < 1|Y =1/4). (d) Determine whether...

  • Let X and Y be jointly continuous random variables with joint probability density given by f(x,...

    Let X and Y be jointly continuous random variables with joint probability density given by f(x, y) = 12/5(2x − x2 − xy) for 0 < x < 1, 0 < y < 1 0 otherwise (a) Find the marginal densities for X and Y . (b) Find the conditional density for X given Y = y and the conditional density for Y given X = x. (c) Compute the probability P(1/2 < X < 1|Y =1/4). (d) Determine whether...

  • 5. X and Y are independent with X ~ Binom(mp) and Y ~ Binom(m, p). Make...

    5. X and Y are independent with X ~ Binom(mp) and Y ~ Binom(m, p). Make Z = X + Y. What is the conditional distribution of X, given Z?

  • Exercises: 1) The joint distribution of X and Y is given by the following table: y...

    Exercises: 1) The joint distribution of X and Y is given by the following table: y 1.5 2 fxy(x, y) 1/4 1/8 1/4 1/4 1/8 Compute: a) P(X=1.5, Y =2). b) P(X=1, Y =2). c) P(X=1.5). d) P(X<2.5, Y<3) e) P(Y>3) f) E(X), E(Y), V(X) and V(Y). g) The marginal distributions of X and of Y. h) Conditional probability distribution of Y given that X = 1.5. i) E(Y|X=1.5) j) E(XY) k) Are X and Y independent? Explain why or...

  • Classify the events as dependent or independent: Events A and B where P(A) = 0.5, P(B)...

    Classify the events as dependent or independent: Events A and B where P(A) = 0.5, P(B) = 0.2, and P(A and B) = 0.09 Independent or Dependent? 0.5 x 0.2=0.10 which does not equal 0.09, does this mean that the correct answer is dependent?

  • 81. Consider the function g(x, y) given by, 1 1.52.53 11/4 0 0 0 2 0...

    81. Consider the function g(x, y) given by, 1 1.52.53 11/4 0 0 0 2 0 1/8 0 0 y 3 0 1/4 0 0 4 0 0 1/4 0 5 00 0 1/8 and complete / determine the following: (a) Show that g(x, y) satisfies the properties of a joint pmf. (See Table in ?6.0.1.) (b) P(X < 2.5,Y < 3) (c) P(X < 2.5) (d) P(Y < 3) (e) P(X> 1.8, Y> 4.7) (f) E[X], EY], Var(X), Var(Y)...

  • The joint probability mass function (p.m.f.) of the discrete random variables X and Y is given...

    The joint probability mass function (p.m.f.) of the discrete random variables X and Y is given by 11/4 1/2 20 1/4 (a) Are X and Y independent? (b) Compute P(XY 1) and P(2X Y >1) (c) Find P(y > 1 | X = 1) (d) Compute the conditional p.m. f. of X given Y = 1

  • Determine the value of c that makes the function f(x,y) = c(x+ y) a joint probability...

    Determine the value of c that makes the function f(x,y) = c(x+ y) a joint probability mass function over the nine points with x= 1, 2, 3 and y = 1, 2, 3. Determine the following: a) P(X = 1, Y < 4) b) P(X = 1) c) P(Y = 2) d) P(X < 2, Y < 2) e) E(X), E(Y), V(X), V(Y) f) Marginal probability distribution of the random variableX. g) Conditional probability distribution of Y given that X...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT