Let x and y have the joint pmf described as follows: (x, y) (1, 1) (1, 2) (1, 3) (2, 1) (2, 2) (2, 3) p(x, y) 2 15 4 15 3 15 1 15 1 15 4 15 and p(x, y) is equal to zero elsewhere.
(a) find the means μ1 and μ2, the variances σ2 1 and σ2 2, and the correlation coefficient rho.
(b) compute e(y |x = 1), e(y |x = 2), and the line μ2 + rho(σ2/σ1)(x − μ1). do the points [k, e(y |x = k)], k = 1, 2, lie on this line?

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.