Answer:
a)
And replacing we got:
b)
Step-by-step explanation:
Previous concepts
In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".
The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).
And the standard deviation of a random variable X is just the square root of the variance.
Solution to the problem
Part a
We have the following distribution function:
Y 0 1 2 3
P(Y) 0.45 0.2 0.3 0.05
And we can calculate the expected value with the following formula:
And replacing we got:
Part b
For this case the new expected value would be given by:
And replacing we got
Answer:
D.
Step-by-step explanation:
The original antenna revolves at a rate of 30 per 2 minutes, or 15 per minute.
Twice as fast = 15 X 2 = 30 per minute
Only the data in Table D fits.
660 / 22 = 30
720 / 24 = 30
Answer:
C=3+.37x
Step-by-step explanation:
C=cost/month
x=number of messages sent
Answer:
M
Step-by-step explanation:
AB was dilated by scale factor of 2 to create A'B'.
Connect points A and A' with a straight line, connect points B and B' with a straight line. The point where these two straight lines will intersect is the center of dilation.
As you can see, these lines intersect at point M, so, point M is the center of dilation.
X=2 because it equals 12.