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The director of admissions at Kinzua University in Nova Scotia estimated the dis

ID: 3130525 • Letter: T

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.

What is the expected number of admissions for the fall semester?

Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places.)

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.

  

Explanation / Answer

Consider:

a)

Thus,  
  
E(x) = Expected value = mean = Sum(xP(x)) =    1431 [ANSWER]

********************

b)
Hence,

Var(x) = E(x^2) - E(x)^2 =    74709 [ANSWER, VARIANCE]

Also,

s(x) = sqrt [Var(x)] =    273.3294715 [STANDARD DEVIATION]

x P(x) x P(x) x^2 P(x) 1030 0.3 309 318270 1380 0.1 138 190440 1640 0.6 984 1613760