Question

The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience. Admissions Probability 1,060 0.5 1,400 0.1 1,620 0.4What is the expected number of admissions for the fall semester?

Answer 1

Answer:

In order to calculate the expected value we can use the following formula:  

$E(X)=\sum_{i=1}^n X_i P(X_i)$  

And if we use the values obtained we got:  

$E(X)=(1060*0.5) +(1400*0.1) +(1620*0.4)=1318$  

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:  

$E(X)=\sum_{i=1}^n X_i P(X_i)$  

And if we use the values obtained we got:  

$E(X)=(1060*0.5) +(1400*0.1) +(1620*0.4)=1318$