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- A group of 20 students have been on holiday abroad and are returning to Norway. In the group, there are 7 who have bought too much alcohol on duty-free and none of them informs the customs officers about it. Customs officers randomly select 5 people from these 20 students for control. We let the variable X be the number of students among the 5 selected who have bought too much alcohol. (a) What type of probability distribution does the variable X have? Write down the formula for the point probabilities. (b) What is the probability that none of those checked has bought too much? (c) What is the probability that at least 3 of the 5 controlled students have bought too much?Cathy is planning to take the Certified Public Accountant Examination (CPA exam). Records kept by the college of business from which she graduated indicate that 60% of students who graduated pass the CPA exam. Assume that the exam is changed each time it is given. Let n = 1, 2, 3, ... represent the number of times a person takes the CPA exam until the first pass. (Assume the trials are independent.) (a) What is the probability that Cathy passes the CPA on the first try? (Use 2 decimal places.)(b) What is the probability that Cathy passes the CPA exam on the second or third try? (Use 4 decimal places.)Consider two random events A and B. Event Ac is the complement of event A, and Bc is the complement of B. P(A) =0.58. P(B) = 0.22, and P(A and B) =0.1404. Using a joint probability table, or otherwise, find P(Bc|Ac) 0.7579 0.4364 0.8105 0.1895
- Cathy is planning to take the Certified Public Accountant Examination (CPA exam). Records kept by the college of business from which she graduated indicate that 81% of students who graduated pass the CPA exam. Assume that the exam is changed each time it is given. Let n = 1, 2, 3, ... represent the number of times a person takes the CPA exam until the first pass. (Assume the trials are independent.) (a) What is the probability that Cathy passes the CPA on the first try? (Use 2 decimal places.)(b) What is the probability that Cathy passes the CPA exam on the second or third try? (Use 4 decimal places.)A recent survey shows that 67% of college students have a bird and 65% have a Apple TV Plus subscription. Assuming these two events are independent, what is the probability that a randomly selected college student has neither a bird nor Apple TV Plus? A. 0.5645 B. 0.4490 C. 0.4355 D. 0.8845 E. 0.5510 F. 0.1155Find the missing probability. 7) P(A) = 0.4 P(A and B) = 0.18 P(BA) = ? 9) P(A and B) = 0.035 P(BA)=0.05 P(A) = ? 11) P(B) = 0.5 P(A/B) = 0.54 P(A and B) = ? 13) P(A)=0.35 P(A and B)= 0.14 P(B|A) = ? 8) P(A and B) = 0.1 P(BA)=0.25 P(A) = ? 10) P(A)=0.6 P(BA) = 0.55 P(A and B) = ? 12) P(B) = 0.25 P(A and B)=0.07 P(A/B) = ? 14) P(A and B) = 0.08 P(BA)=0.4 P(4)= ? -1-
- You are given four events A, B, C, D that are independent, and whose probabilities are Pr(A) = 0.6, Pr(B) = 0.5, Pr(C) = 0.4, and Pr(D) = 0.3. Find the probability that at least two events of these events happen. O 0.2908 O 0.4684 O 0.3748 O 0.7092 O 0.6140A local bottling company has determined the number of machine breakdowns per month and their respective probabilities as shown below. Number of Breakdowns Probability 0 .12 1 .38 2 .25 3 .18 4 .07 The probability of at least 3 breakdowns in a month is _____. a. .30 b. .5 c. .10 d. None of these answers are correct.answer the following probability question
- If the weight (in grams) of cereal in a box of Lucky Charms is N(470,5), what is the probability that the box will contain less than the advertised weight of 453 g? (Round your answer to 4 decimal places.) Probability:???????????Luisa is a manager at a pet insurance company with many customers. Sixty percent of the company's customers filed claims in the past year. Luisa will randomly select 12 customers from all the company's customers. Assuming the customers selected are independent of each other, which of the following is closest to the probability that more than 2 of the 12 customers sampled did not file claims in the past year? (A) 0.003 (B) 0.400 (C) 0.917 (D) 0.997 (E) 0.999Cathy is planning to take the Certified Public Accountant Examination (CPA exam). Records kept by the college of business from which she graduated indicate that 75% of students who graduated pass the CPA exam. Assume that the exam is changed each time it is given. Let n = 1, 2, 3, ... represent the number of times a person takes the CPA exam until the first pass. (Assume the trials are independent.) (a) What is the probability that Cathy passes the CPA on the first try? (Use 2 decimal places.)(b) What is the probability that Cathy passes the CPA exam on the second or third try? (Use 4 decimal places.)