Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 8], whereas waiting time in the evening is un iformly distributed on [0, 10] independent of morning waiting time. What is the variance of the total waiting time?
1 answer:
Answer:
41/3
Step-by-step explanation:
given that your waiting time for a bus in the morning is uniformly distributed on [0, 8], whereas waiting time in the evening is uniformly distributed on [0, 10] independent of morning waiting time.
Sum of both waiting times = X+Y
Where X = morning wait time is U(0.8) and
Y = evening wait time is U(0,10)
Since X and Y are independent
Var(x+y) = Var(x)+Var(y)
Var(x) =
Var(Y) =
Var(x+y)
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Answer:
Given - AB = X + 5
BC = 2(x - 3)
= 2x - 6
TO FIND - Value of X
SOLUTION -
B is the mid point of AC
AB = BC
x +5 = 2x - 6
x- 2x = (-6)-5
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x = 11
Value of X = 11