4.4-11. D < y < 1, and 0 < x < 1 – y. a) Determine c. p) Compute P(Y < X | X < 1/4). joint pdf f(x, y) = cx(1-y) %3D

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4.4-11

4.4-10. Let T and T2 be random times for a company to
0 < y < 1, and 0 < x < 1 – y.
measured in days and they have the joint pdf that is uni-
form over the space 1 < t < 10, 2 < t2 < 6, t1+2t2 < 14.
awarded the contract. What is the probability that they will
complete two steps in a certain process. Say T1 and T2 are
will be
he asked to rebid?
a
and they have the joint pdf that is uni-
measured in days
n over the space I < <10, 2 < t2 < 6, t +2t < 14
What is P(T1 + T2 > 10)?
tell. Let X and Y have the joint pdf f(x, y) = .
1, and 0 < x <1
cx(1-y)
0<y
y.
(a) Determine c.
(b) Compute P(Y < X | X < 1/4).
4.4-12. Show that in the bivariate situation, E is a linea
or distributive operator. That is, show that
E[aju1(X, Y)+ azu2(X, Y)]
= a¡ E[u¡(X, Y)]+ a2E[u2(X,Y)].
%3D
nl
Transcribed Image Text:4.4-10. Let T and T2 be random times for a company to 0 < y < 1, and 0 < x < 1 – y. measured in days and they have the joint pdf that is uni- form over the space 1 < t < 10, 2 < t2 < 6, t1+2t2 < 14. awarded the contract. What is the probability that they will complete two steps in a certain process. Say T1 and T2 are will be he asked to rebid? a and they have the joint pdf that is uni- measured in days n over the space I < <10, 2 < t2 < 6, t +2t < 14 What is P(T1 + T2 > 10)? tell. Let X and Y have the joint pdf f(x, y) = . 1, and 0 < x <1 cx(1-y) 0<y y. (a) Determine c. (b) Compute P(Y < X | X < 1/4). 4.4-12. Show that in the bivariate situation, E is a linea or distributive operator. That is, show that E[aju1(X, Y)+ azu2(X, Y)] = a¡ E[u¡(X, Y)]+ a2E[u2(X,Y)]. %3D nl
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