Determine the value of c that makes the function f(x, y) = cxy a joint probability density function over the range 0 < x < 3 and 0 < y < x. C = i 0.0988 Round your answer to four decimal places (e.g. 98.7654). Determine the following: (a) P(X < 1.9, Y < 2.9) = i 0.161 Round your answer to three decimal places (e.g. 98.765). (b) P(1.9 < X < 2.9) = 0.712 Round your answer to three decimal places (e.g. 98.765). (c) P(Y > 1) = i 0.790 Round your answer to three decimal places (e.g. 98.765). (d) P(X < 2, Y < 2) = i 0.198 Round your answer to three decimal places (e.g. 98.765). (e) E(X) = i Round your answer to three decimal places (e.g. 98.765). (f) E(Y) = i Round your answer to three decimal places (e.g. 98.765).

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Determine the value of c that makes the function f(x, y) = cxy a joint probability density function over the range 0 < x < 3 and
0 < y < x.
C =
i
0.0988
Round your answer to four decimal places (e.g. 98.7654).
Determine the following:
(a) P(X < 1.9, Y < 2.9) =
i
Round your answer to three decimal places (e.g. 98.765).
0.161
(b) P(1.9 < X < 2.9) =
i 0.712
Round your answer to three decimal places (e.g. 98.765).
(c) P(Y > 1) =
i 0.790
Round your answer to three decimal places (e.g. 98.765).
(d) P(X < 2, Y < 2) = i 0.198
Round your answer to three decimal places (e.g. 98.765).
(e) E(X) =
i
Round your answer to three decimal places (e.g. 98.765).
(f) E(Y) =
i
Round your answer to three decimal places (e.g. 98.765).
Transcribed Image Text:Determine the value of c that makes the function f(x, y) = cxy a joint probability density function over the range 0 < x < 3 and 0 < y < x. C = i 0.0988 Round your answer to four decimal places (e.g. 98.7654). Determine the following: (a) P(X < 1.9, Y < 2.9) = i Round your answer to three decimal places (e.g. 98.765). 0.161 (b) P(1.9 < X < 2.9) = i 0.712 Round your answer to three decimal places (e.g. 98.765). (c) P(Y > 1) = i 0.790 Round your answer to three decimal places (e.g. 98.765). (d) P(X < 2, Y < 2) = i 0.198 Round your answer to three decimal places (e.g. 98.765). (e) E(X) = i Round your answer to three decimal places (e.g. 98.765). (f) E(Y) = i Round your answer to three decimal places (e.g. 98.765).
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