Answer:
The expected value of X is and the variance of X is
The expected value of Y is and the variance of Y is
Step-by-step explanation:
(a) Let X be a discrete random variable with set of possible values D and probability mass function p(x). The expected value, denoted by E(X) or , is
The probability mass function of X is given by
Since the bus driver is equally likely to drive any of the 4 buses, the probability mass function of Y is given by
The expected value of X is
The expected value of Y is
(b) Let X have probability mass function p(x) and expected value E(X). Then the variance of X, denoted by V(X), is
The variance of X is
The variance of Y is
Answer:
...
Step-by-step explanation:
Answer:
No it cannot. There isn't a common value shared between the two numbers to simplify.
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
{y = ¼x - 3}
{2x + 4y = 12
2x + 4[¼x - 3] = 12
2x + x - 12 = 12
3x - 12 = 12
+ 12 + 12
_________
3x = 24
__ __
3 3
[Plug this back into both equations above to get the y-coordinate of −1];
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