Company A will default with probability .01, company B will default with probability.05, and company C will default with probability .09. I will buy a bond of company A withprobability .5, I will buy a bond of company B with probability .3, and I will buy a bondof company C with probability .2. Given that the bond that I bought defaults, what is theprobability that the bond was of Company A?

Given that. The event A is I will buy a bond of Company A The event B is I will buy a bond of…

Answered: Company A will default with probability…

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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For safety reasons, 3 different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank. Each of the 3 systems detects theft with a probability of 0.85 independently of the others. es. The bank, obviously, is interested in the probability that when a theft occurs, at least one of the 3 systems will detect it. What is the probability that when a theft occurs, at least one of the 3 systems will detect it? Your answer should be rounded to 4 decimal places.
Jay-Z has applied to both The School of Hard Knocks and The University of OG's. He thinks the probability that The School of Hard Knocks will admit him is 0.4, the probability that The University of OG's will admit him is 0.5, and the probability that both will admit him is 0.2. Creating a Venn Diagram is Helpful. What is the probability that Jay-Z gets into The School of Hard Knocks but not The University of OGʻs?
Of the students who registered for the statistical teaching assistant, 75 percent came from the economics department, 19 percent came from the Islamic economics department, and 6 percent came from the accounting department. Students who did not pass 94 percent of the economics major, 95 percent of the Islamic economics major, and 96 percent of the accounting major, the rest were students who passed. If 1 student passes, a. What is the probability that the student is from the Islamic economics department?
The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that he must stop at the first signal is 0.45, the analogous probability for the second signal is 0.5, and the probability that he must stop at at least one of the two signals is 0.55. (a) What is the probability that he must stop at both signals? (b) What is the probability that he must stop at the first signal but not at the second one? (c) What is the probability that he must stop at exactly one signal?
Bag 1 contains 8 gray rocks and 5 black rocks, and Bag 2 contains 9 gray rocks and 4 black rocks. Suppose we flip a fair coin. If the result is heads, we randomly select a rock from Bag 1; if the result is tails, we randomly select a rock from Bag 2. Suppose that a gray rock was selected. What is the probability that the rock came from Bag 1?
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Leah is flying from Moncton to Vancouver with connection in Montreal. The proba- bility that her first flight leaves on time is 0.15. If the flight is on time, the probability that her luggage will make the connecting flight in Montreal is 0.95, but if the first is Practice q # 25 p.197 delayed, the probability that the luggage will make it is only 0.65. chap 7 Are the first flight leaving on time and the luggage making the connection independent events? Explain. What is the probability that Leah's luggage arrives in Vancouver with a. b. her?
You are the teacher of two math classes of 20 and 25 students respectively. To get into a university program, the students need a 75% in the class. Suppose each student has a 0.7 probability of getting atleast a 75% in the class. Let X1 be the number of students in the class of 20 who receive atleast a 75%. Let X2 be the number of students in the class of 25 who receive atleast a 75%. a. Do X1 and X2 fit the binomial setting? Are there any issues? For the rest of the question, assume both X1 and X2 can be modeled by a binomial distri- bution. b. What is the probability that exactly 15 students in the class of 20 get into the pro- gram? Do not use Table C. c. What is the probability that atleast 22 students in the class of 25 get into the pro- gram? Do not use Table C. d. Using Table C, what is the probability that atleast 17 students in the class of 20 get into the program? е. Let X be the number of students in both classes that get into the program. Deter- mine the mean and standard…
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