Problem #7: suppose that the random variables x and y have the following joint probability density function. 0 < y < x. f(x, y)-ce f(x, y)=ce-4x-sy, 0 (a) find p(x < 2, y < . 10 (b) find the marginal probability distribution of x. problem #7(a): enter your answer as a symbolic function of x, as in these examples do not include the range for x (which is x> 0) problem #7(b):

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %

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