____________ 1 . A committee of three is chosen from among the five professors –
ID: 3437991 • Letter: #
Question
____________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.
Major
Number of Students
Accounting
120
Finance
170
Management
280
Marketing
90
TOTAL
Explanation / Answer
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:
Major Number of Students Relative frequency Percent Accounting 120 0.181818182 18.18182 Finance 170 0.257575758 25.75758 Management 280 0.424242424 42.42424 Marketing 90 0.136363636 13.63636 TOTAL 660 1 100Related Questions
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