# Question

If F( x, y) is the value of the joint distribution function of X and Y at ( x, y), show that the marginal distribution function of X is given by

G( x) = F( x,âˆž) for - âˆž < x < âˆž

Use this result to find the marginal distribution function of X for the random variables of Exercise 3.54 on page 91.

G( x) = F( x,âˆž) for - âˆž < x < âˆž

Use this result to find the marginal distribution function of X for the random variables of Exercise 3.54 on page 91.

## Answer to relevant Questions

If F(x1, x2, x3) is the value of the joint distribution function of X1, X2, and X3 at (x1, x2, x3), show that the joint marginal distribution function of X1 and X3 is given by M(x1, x3) = F(x1, âˆž, x3) for - âˆž < x1 < ...The probability distribution of V, the weekly number of accidents at a certain intersection, is given by g(0) = 0.40, g(1) = 0.30, g(2) = 0.20, and g(3) = 0.10. Construct the distribution function of V and draw its graph. hThe total lifetime (in years) of five- year- old dogs of a certain breed is a random variable whose distribution function is given by Find the probabilities that such a five- year- old dog will live (a) Beyond 10 years; ...If the probability distribution of X is given by f(x) = (1/2)x for x = 1, 2, 3, . . . show that E(2X) does not exist. This is the famous Petersburg paradox, according to which a playerâ€™s expectation is infinite (does not ...Show that For r = 1,2,3,..., and use this formula to express Âµ3 and Âµ4 in terms of moments about the origin.Post your question

0