The random variable X is defined as a random variable that can take integer values in the range -3 1) = 0.2, P (x> 0) = 0.6, P (X <-1) = 0.1, P (X <0o) = 0.2. Accordingly, calculate the average value of the Y random variable defined as Y = X ^ 2 + 2 and the probability P (Y = 2). A7944

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ACC Vly, calculate the average value of the Y random variable defined as Y = X A 2 + 2 and the probability P (Y = 2).
E[Y] = 2.7, P (Y- 2) = 0.5
The random variable X is defined as a random variable that can take integer values in the range -3 <x <3. P
555-9
g160
16010055587047944
E [Y] = 0.5, P (Y =
A
555-987047
B
g160
%3D
0.2
555-987047
%3D
E [Y] = 2.7, P (Y = 2) =
0160
160 0555-987
g160 100555 - 9870479447
555-987047
то
987047944
E [Y :
555-987047
g160 100555 - 9870479447
g160100555- 987047944
655-987047944i
=
g160100555 - 9870479447
47944
= 0.2.
g160100555- 9870479447
555-
g160100555 - 9870479447
047944
g160100555 - 987047944/
g160100555 - 9870479447
479447
g160100555- 987047944
g1601005
2479447
g160100555 - 987047944
047944
g1601005
0479441
Transcribed Image Text:ACC Vly, calculate the average value of the Y random variable defined as Y = X A 2 + 2 and the probability P (Y = 2). E[Y] = 2.7, P (Y- 2) = 0.5 The random variable X is defined as a random variable that can take integer values in the range -3 <x <3. P 555-9 g160 16010055587047944 E [Y] = 0.5, P (Y = A 555-987047 B g160 %3D 0.2 555-987047 %3D E [Y] = 2.7, P (Y = 2) = 0160 160 0555-987 g160 100555 - 9870479447 555-987047 то 987047944 E [Y : 555-987047 g160 100555 - 9870479447 g160100555- 987047944 655-987047944i = g160100555 - 9870479447 47944 = 0.2. g160100555- 9870479447 555- g160100555 - 9870479447 047944 g160100555 - 987047944/ g160100555 - 9870479447 479447 g160100555- 987047944 g1601005 2479447 g160100555 - 987047944 047944 g1601005 0479441
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