Discuss the below:
1- In each one of the following cases, indicate classic probability is used, empirical (relative occurrence frequency) or subjective.
a. A basketball player fails 30 of 50 distances. The probability that it fails the following shot is .60.
b. A committee of seven students forms to study the environmental questions. Which e3s the possibility that one of them is chosen like spokesman?
c. You buy one of the 4 million tickets of Lottery. Which is the probability that you win the prize of 1 million?
d. The probability of a tremor in the north of California in next the 10 years is of 80, according to Mr. Ritcher Osmond, seismology.
2. 200 students of the business administration Department, 50 are registered Basic Accounting, 60 are registered an Economy and other 40 are taking both courses.
a. draws the Venn diagram.
b. determines the probability that a chosen student at random is in both courses.
3- A professor has 30 students in two groups of accounting, Group A and Group B. The group A has 20 students, from who 5 will take the test for CPA. From group B, 4 they will take the test for CPA. The other students will not take the test.
a. The described situation draws a probability tree previously representing.
b. determines the probability that a chosen student at random is going to take the test for CPA.
4 suppose that two events A and B are mutually excluding. Determine the probability that they happen jointly.
5- The manager of Puertorican Airlines is worried about the possibility of strikes in the company. He knows that the probability that their pilots go on strike is of .75 and the probability that the drivers go on strike is of .65. In addition, he knows that if the conductors go on strike, the pilots have a probability of .90 also of going to strike.
a) Determine the probability that both groups go on strike.
(b) Determines the probability that the conductors go on strike if the pilots go on strike.
6) The probability that a publicity campaign increases the sales is .80. The probability that the cost of developing that campaign of publicity stays within the budget is .40. Suppose that the events are independent, determine the probability that the cost stays within the budget and that the campaign increases the sales.