6. Let X and Y be jointly normal random variables with parameters x = 3, o = 16, μy 1, o = 25, and p = 3/5, i.e. (X,Y) ~ N₂(3, 1, 16, 25, 3/5). Find (a) P(3

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με
6. Let X and Y be jointly normal random variables with parameters x = = 0²
3, rx = 16, Y =
25, and p = 3/5, i.e. (X,Y) ~ N₂(3, 1, 16, 25, 3/5). Find
1, 0²
=
(a) P(3 <Y < 8).
(b) P(3 < Y < 8|X = 7).
(c) P(−3 < X < 3).
(d) P(-3 < X < 3|Y = −4).
Transcribed Image Text:με 6. Let X and Y be jointly normal random variables with parameters x = = 0² 3, rx = 16, Y = 25, and p = 3/5, i.e. (X,Y) ~ N₂(3, 1, 16, 25, 3/5). Find 1, 0² = (a) P(3 <Y < 8). (b) P(3 < Y < 8|X = 7). (c) P(−3 < X < 3). (d) P(-3 < X < 3|Y = −4).
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