7. Consider randomly selecting a student at a certain university, and let A denote the eventthat the selected individual has a Visa credit card and B be the analogous event for aMasterCard. Suppose that P(A) = 0.5, P(B) = 0.4 and P(An B) = 0.25a. Compute the probability that the selected individual has at least one of the two types ofcards.b. What is the probability that the selected individual has neither type of card?

a. Addition rule: For any two events A and B, P(A∪B)=P(A)+P(B)−P(A∩B) The probability of the…

Answered: 7. Consider randomly selecting a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose a math class contains 33 students. There are 23 females (five of whom speak Spanish) and 10 males (two of whom speak Spanish). Give all answers as decimals to at least two decimal places.1. What is the probability that a randomly selected student speaks Spanish, given that the student is female? 2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male?
Assume that there is a 9% rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. If copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive? a. With two hard disk drives, the probability that catastrophe can be avoided is (Round to four decimal places as needed.)
suppose that in a certain large population the proportion of the labour force that is employed is 0.94. Suppose 17 people are randomly and independently drawn. what is the probability that not all of them are employed?
A teacher has found that the probability that a student studies for a test is 0.75, and the probability that a student gets a good grade on a test is 0.64, and the probability that both occur is 0.56. a. Are these events independent? b. Given that a student studies, find the probability that the student gets a good grade. c. Given that a student gets a good grade, find the probability that the student studied. a. Are these events independent? O No O Yes b. Given that a student studies, the probability that the student gets a good grade is (Type an integer or decimal rounded to two decimal places as needed.) c. Given that a student gets a good grade, the probability that the student studied is (Type an integer or decimal rounded to two decimal places as needed.)
Suppose that it is known that in a certain large population, 10 percent of the population is color blind. If a random sample of 25 people is drawn from the population, find the probability that exactly 8 of them are color blind.
Suppose that 12% of a certain batch of calculators have a defective case, and that 16% have defective batteries. Also, 4% have both a defective case and defective batteries. A calculator is selected from the batch at random. Find the probability that the calculator has a good case and good batteries. The probability that the calculator has a good case and good batteries is (Type an integer or a decimal.) C
1. Many fire stations handle emergency calls for medical assistance as well as those requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.72. This can expressed as P(call is for medical assistance) = 0.72. Assume each call is independent of other calls. a) Interpret the probability that an incoming call is for medical assistance. b) What is the probability that none of the next four calls are for medical assistance. c) You want to estimate the probability that exactly three of the next four calls are for medical assistance. Describe how you would use the table of random digits to simulate this probability. (Remember that after reaching 4 different numbers, check for exactly 3 calls for medical assistance, then repeat)
6) Medical researchers know that the probability of getting lung cancer if a person smokes is 0.34. The probability that a nonsmoker will get lung cancer is 0.03. It is also known that 11% of the population smokes. What is the probability that a randomly selected person is both a smoker and gets lung cancer? A. 0.037 B. 0.324 C. 0.340 D. 0.230 E. None of the above.
Say that the probability that someone has a wireless mouse for their computer is 0.4 and the probability that someone does not have a wireless keyboard is 0.3. The probability that someone has both a wireless mouse and a wireless keyboard is 0.2. Let the event A denote someone having a wireless mouse and event B denote someone having a wireless keyboard. a. Now say we interview two independent people. What is the probability that both have a wireless mouse?
Assume that there is a 8% rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. If copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive? a. With two hard disk drives, the probability that catastrophe can be avoided is 0.9936. (Round to four decimal places as needed.) b. With four hard disk drives, the probability that catastrophe can be avoided is ☐ (Round to six decimal places as needed.)
Suppose that 11% of a certain batch of calculators have a defective case, and that 12% have defective batteries. Also, 5% have both a defective case and defective batteries. A calculator is selected from the batch at random. Find the probability that the calculator has a good case and good batteries. The probability that the calculator has a good case and good batteries is (Type an integer or a decimal)
Suppose the probability of a customer placing an order at a pizza place for a pepperoni pizza is 0.6, and for something else with probability 0.4. We assume if a customer calls the pizza place, he orders something, and that all incoming calls are indepen- dent. What is the probability that the pizza place will get the first pepperoni pizza order on the 4th call of the day?

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