Solution :
a).
Now, if X = Y, then :
Then, E[X|Y] = x = y
So,
= 0
Therefore, this statement is TRUE.
b). If X = Y , then Var (X) = Var (Y)
And as Var (X|Y) = 0, so Var (X|Y) ≠ Var (X), except when all the elements of Y are same.
So this statement is FALSE.
c). As defined earlier,
So, this statement is also TRUE.
d). The statement is TRUE because .
e). FALSE
Because,
Answer:
Step-by-step explanation:
Answer:
Are you sure it is 1830?
Or is it a typo and might 18?
Step-by-step explanation:
Using the probability concept, it is found that:
a) P(girl) = 1/3, which means that 1/3 = 33% of the time, the first batter will be a girl.
b) P(boy) = 2/3, which means that 2/3 = 67% of the time, the first batter will be a boy.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, in a total of 15 people, 5 are girls and 10 are boys, hence:
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
$33012
Step-by-step explanation:
Total Monthly Budget= $ 2751
Total Yearly Budget=2751×12=$33012