1 A committee of three is chosen from among the five profess

____________1. A committee of three is chosen from among the five professors – Dr. Smith,

                   Dr. Andrews, Dr. Joalvz, Dr.Fritz and Dr. Burke. What is the probability that

                   Dr. Burke is on the committee?       Show solution.

                      A) 1/5   B) 2/5   C) ½    D) 3/5

____________2. A fair coin is tossed three times. What is the probability of obtaining one

                         Head and two Tails? (A fair coin is one that is not loaded, so there is an equal chance of it landing Heads up or Tails up.) Show solution.

                            A) ¼     B)1/3     D) 4/8    B) 3/8

Exercise 2. There are four major fields offered in a College of Business in a University which are Accounting, Finance, Management and Marketing. The following table shows the number of students enrolled in each major. Use these data to answer questions 2.1, 2.2 & 2.3  

Major

Number of Students

Accounting

120

Finance

170

Management

280

Marketing

90

                  TOTAL

Exercise 2. Questions 2.1,2.2 & 2.3

2.1)Develop a relative frequency distribution

       2.2)Develop a percentage frequency distribution

2.3)Construct a Line or Bar graph for the number of students enrolled for each major.

Solution

1) Prob that Mr Burke is on the committee = 1/total numbers

= 1/5

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2)

the probability of obtaining one Head and two Tails when a fair coin is tossed 3 times.

Here p = prob for one coin showing a head = 0.5 = q = prob for tail

Hence P(1 H and 2 T)

= 3C2(0.5)³

= 0.375

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Line/Bar graph: