Mathematics, 20.06.2020 22:57 vanessaporter1545

Let X and Y be two random variables that are uniformly distributed over the triangle formed by the points (0, 0), (1. 0) , and (0, 2) (this is an asymmetric version of the PDF in the previous problem). Calculate E[X] and E[Y] by following the same steps as in the previous problem. (a) Find the joint PDF of X and Y .
(b) Find the marginal PDF of Y .
(c) Find the conditional PDF of X given Y .
(d) Find E[X|Y = y] and use the total expectation theorem to find E[X] in terms of E[Y ].
(e) Use the symmetry of the problem to find the value of E[X].

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The answer is 41.7 because 1.39 times 30 is 41.7

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answer: what statements

step-by-step explanation if you write the statements down then i could you.

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Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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students group

step-by-step explanation:

a person who joins a party or a seminar can explain his feelings about that particular occasion better more than anyone else.

as bella managed a show for the students in the school and invited students to watch that show

hence

students group will be the best group to survey to find this information

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Let X and Y be two random variables that are uniformly distributed over the triangle formed by the p...