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Answer:
The answer is minus 7373838474
Step-by-step explanation:
70 + 78 + 91 = 239
239 - 42 - 36 = 161
Answer:
If it is less than 3, Player 1 earns 3 points.
If not, Player 2 earns 2 points.
Step-by-step explanation:
<u>Player 1</u> :
p(N < 3) = p(N = 1 or N = 2) = 2/5
<u>Player 2</u> :
p(N ≥ 3) = p(N = 3 or N = 4 or N = 5) = 3/5
<u>We notice that</u> :
p(N < 3) × 3 = (2/5) × 3 = 6/5
On the other hand,
p(N ≥ 3) × 2 = (3/5) × 2 = 6/5
since ,the probability player 1 win multiplied by the associated number of points (3)
is equal to
the probability player 2 win multiplied by the associated number of points (2).
Then the game is fair.
Answer:
a) 
b) 
c) 
d) 
e) 
f) 
g) 
h) E(Y) = E(1+X+u) = E(1) + E(X) +E(v+X) = 1+1 + E(v) +E(X) = 1+1+0+1 = 3[/tex]
Step-by-step explanation:
For this case we know this:
with both Y and u random variables, we also know that:
![[tex] E(v) = 0, Var(v) =1, E(X) = 1, Var(X)=2](https://tex.z-dn.net/?f=%20%5Btex%5D%20E%28v%29%20%3D%200%2C%20Var%28v%29%20%3D1%2C%20E%28X%29%20%3D%201%2C%20Var%28X%29%3D2)
And we want to calculate this:
Part a

Using properties for the conditional expected value we have this:

Because we assume that v and X are independent
Part b

If we distribute the expected value we got:

Part c

Using properties for the conditional expected value we have this:

Because we assume that v and X are independent
Part d

If we distribute the expected value we got:

Part e

Part f

Part g

Part h
E(Y) = E(1+X+u) = E(1) + E(X) +E(v+X) = 1+1 + E(v) +E(X) = 1+1+0+1 = 3[/tex]