Estimating condition and marginal probability


The following is based upon information from the Statistical abstract of United States, Dec, 1992. In this table the columns are years in which students graduated from the college with the Bachelor's degree. The rows are high school grade average for such students. In 1976, therefore, a random sample of 577 new college students showed that 419 had the high school average of A, 123 had the grade of B and so on.  (Employ the chart for questions 31 - 40.)  Write down answers in decimal form.

High School

Grade Average

1976

1980

1986

Total

A

419

593

607

1619

B

123

249

280

  652

C

  24

  61

  77

  162

D

  11 

  36

  45

    92

Total

577

939

1009

2525

  1. Evaluate P(C)
  2. Evaluate P(1980)
  3. Evaluate P(B | 1986)                                                 
  4. Evaluate P(1986 | A)
  5. Evaluate P (1976 | D)           
  6. Evaluate P(A or B)
  7. Evaluate P(C or 1976)
  8. Evaluate P(A and D)
  9. Are A and B mutually exclusive?
  10. Are C and 1986 mutually exclusive?

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Basic Statistics: Estimating condition and marginal probability
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