Answer:
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
Step-by-step explanation:
Let X the random variable that represent the number of admisions at the universit, and we have this probability distribution given:
X 1060 1400 1620
P(X) 0.5 0.1 0.4
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.
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
Answer:
D
Step-by-step explanation:
<u>Answer:</u>
The Ranking Percentile is (B) 97.5%
<u>Explanation
:</u>
To find the percentile rank we need to find the z- score. After finding the z-score match this value with the corresponding value in z-score table.
Formula to find the z-score
Z-score=
Substituting the values in the above equation, we find
Z-score=
=2
So, the Z-score is +2
Now, the corresponding value of Z-score 2 in the table is 0.9772
or the percentile score is 97.72 ~ 97.5
.