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Decision Theory: Q:1) A student taking management science 301 at East Haven Univ

ID: 471450 • Letter: D

Question

Decision Theory:

Q:1) A student taking management science 301 at East Haven University will receive one of the five possible grades for the course A, B, C. D OR F. The distribution of grades over the past two years is as follows:

Grade                 Number of students

A)                                    80

B)                                     75

C)                                     90

D)                                     30

F)                                      25

                            TOTAL = 300

If this past distribution is a good indicator of future grades, what is the probability of a student receiving a C in the course.

Q:2) A silver dollar is flipped twice. Calculate the probability of each of the following occurring:

A) A head on the first flip

B) a tail on the second flip given that the first toss was a head

C) two tails

d) a tail on the first and a head on the second

e)a tail on the first and a head on the second or a head on the first and a tail on the second

f) at least one head on the two flips.

Grade                 Number of students

A)                                    80

B)                                     75

C)                                     90

D)                                     30

F)                                      25

                            TOTAL = 300

Explanation / Answer

The probability of a student receiving a C in the course is 30%.

Grade Number of students Probability A) 80 =80/300 0.267 or 3 B) 75 =75/300 0.25 C) 90 =90/300 0.3 D) 30 =30/300 0.1 F) 25 =25/300 0.083 or 0.08 Total 300
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