At the College of Warm & Fuzzy, good grades in math are easy to come by. The gra

Question

At the College of Warm & Fuzzy, good grades in math are easy to come by. The grade distribution is given in the table below:  

Grade

A

B

C

D

F

Proportion

0.30

0.35

0.25

0.09

0.01

          Suppose three students’ grade reports are selected at random with replacement.

The math grade is written down and the report replaced in the population of reports before the next report is selected.

One possible outcomes of this experiment is BAC. Calculate the probabilities of this sequences appearing

A) 0.02625

B) 0.9

C) 0.1

D) 0.21

Grade

A

B

C

D

F

Proportion

0.30

0.35

0.25

0.09

0.01

Explanation / Answer

P(BAC) =P(B n A n C)

              =P(B) *P(A) *P(C)

              = 0.35 * 0.30 * 0.25

              = 0.02625

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