Consider randomly selecting a student at a certain university, and let A denote the event that the selected individual has a Visa credit cardand B be the analogous event for a MasterCard. Suppose that P(A) = 0.3, P(B) = 0.6, and PA N B) = 0.15.(a) Compute the probability that the selected individual has at least one of the two types of cards (i.e., the probability of theevent A U B).(b) What is the probability that the selected individual has neither type of card?(C) Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard.O A'UB'O ANB'O A'N B'O AUB'O A'NBCalculate the probability of this event.

Answered: Image /qna-images/answer/e705de27-5984-495d-a779-d8e16d11f5d7.jpg

Answered: Consider randomly selecting a student…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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At a certain company, the mentoring program and the community outreach program meet at the same time, so it is impossible for an employee to do both. If the probability that an employee participates in the mentoring program is 0.43, and the probability that an employee participates in the outreach program is 0.32, what is the probability that an employee does the mentoring program or the community outreach program?
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.)
Consider randomly selecting a student at a certain university, and let V = the event that the selected individual has a Visa credit card and let M = the event that the selected individual has a Mastercard. Suppose that P(V) = 0.65, P(M) = 0.43, and P(V and M) = 0.25 a. Find the probability that the selected individual has a Mastercard or Visa. b. Find the probability that the selected individual does not have a Visa.
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
Suppose there is a 11.9% probability that a randomly selected person aged 35 years or older is a jogger. In addition, there is a 15.9% probability that a randomly selected person aged 35 years or older is female, given that he or she jogs. What is the probability that a randomly selected person aged 35 years or older is female and jogs? Would it be unusual to randomly select a person aged 35 years or older who is female and jogs? The probability that a randomly selected person aged 35 years or older is female and jogs is (Round to three decimal places as needed.).
If A and B are independent events, with P(A) = 0.2 and P(B) = 0.3,then P(A and B) is?
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)
Consider an experiment in which a person from Valdosta State is selected at random. Let E be the event that the person selected has brown hair, and let F be the event that the person selected is female. Which of the following notations would indicate the probability that the person from Valdosta state has brown hair, given that the person is female?

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