Assignment Module 6: Probability

1. In each of the following cases, indicateProbability classical, empirical (relative frequency of occurrence), or subjective probability is used.
   1. A basketball player misses 30 out of 50 rolls. The probability of the next shot missing is .60.
   2. A committee of seven students is formed to study environmental issues. What is the possibility of one of them being chosen as spokesperson?
   3. You buy one of the 4 million Lottery tickets. What is the probability that you will win the 1 million jackpot?
   4. The probability of a tremor in Northern California in the next 10 years is .80, according to Mr. Ritcher Osmond, a seismologist.

2.Out of 200 students from the Department of Business Administration, 50 are enrolled in the Basic Accounting course, 60 are enrolled in the Economics course and another 40 are taking both courses.

1. Draw the Venn diagram.
2. Determine the probability that a randomly chosen student will be in both courses.

3.A teacher has 30 students in two accounting groups, Group A and Group B.Group A has 20 students, of whom 5 will take the exam for CPA. Of group B, 4 will take the exam for CPA. Other students will not take the exam.

1. Draw a probability tree representing the situation described above.
2. Determine the likelihood that a randomly chosen student will take the exam for CPA.

1. Suppose that two events A and B are mutually exclusive. Determine the probability that they will occur together.

1. The manager of Puertorican Airlines is concerned about the possibility of strikes in the company. He knows that the probability of his pilots going on strike is .75 and the probability of drivers going on strike is .65. Healsoknows that if drivers go on strike, pilots have a .90 chance of going on strike as well.

1. Determine the likelihood that both groups will go on strike.
2. It determines the likelihood that drivers will go on strike if pilots go on strike.

1. The probability that an advertising campaign will increase sales is .80. The probability that the cost of developing that advertising campaign will stay within budget is .40. Assume that the events are independent, determine the probability that the cost will stay within budget and that the campaign will increase sales.