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

Question

1.

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.)

  Variance=_____________

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

1. Expected number of admissions = Summation of no. of Admission*probability

      = 0.6*1060 + 0.1*1400 + 0.3*1540

       = 636 + 140 + 462

  Expected value   = 1,238

2.   Variance =Summation of  ( Actual admission - Expected Admissions)^2

                     = 0.6(1060 - 1238)^2 + o.1(1400 - 1238)^2 +0.3 (1540 - 1238)^2

                    = 0.6*31684      + 0.1*26244 + 03*91204

                   = 19,010.4 + 2624.4 + 27361.2

        variance            = 48996

Standard deviation = (48996)1/2 = 221.35

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