Part I: Sections 1.1- 1.53.Assume that 78% of all employees at Company ABC havehealth insurance through the company, while 64% have dental insurance.Additionally, suppose that 10% of all employees have neither health in-surance nor dental insurance through the company.What is the probability that a randomly selected employee(a)has both health insurance and dental insurance through the company?What is the probability that a randomly selected em-(b)ployee has dental insurance but not health insurace through the com-pany?

Answered: Part I: Sections 1.1-1.5 3. Assume that…

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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If 5 of a company’s 10 delivery trucks do not meet emission standards and 3 of them are chosen for inspec-tion, what is the probability that none of the trucks cho-sen will meet emission standards?
A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 90.2% for the medical students admitted through special programs. Be sure to enter at least 4 digits of accuracy for this problem! If 9 of the students from the special programs are randomly selected, find the probability that at most 6 of them graduated.P(at most 6) = At least 4 digits! Would it be unusual to randomly select 9 students from the special programs and get at most 6 that graduate? no, it is not unusual yes, it is unusual Would it be unusual to randomly select 9 students from the special programs and get only 6 that graduate? no, it is not unusual yes, it is unusual
8. A new computer virus can enter the system through e-mail or through the internet. Thereis a 30% chance of receiving this virus through e-mail. There is a 40% chance ofreceiving it through the internet. Also, the virus enters the system simultaneously throughe-mail and the internet with probability 0.15. What is the probability that the virus doesnot enter the system at all?
If A and B are two mutually exclusive events with P(A)= 0.5 and P(B)=0.4, find the following probabilities: a) P(A \textrm{ and } B) = 0.5 b) P(A \textrm{ or } B) = c) P( \textrm{not }A ) = d) P( \textrm{not }B ) = 0.4 e) P( \textrm{not }(A \textrm{ or } B)) = 0.4 f) P( A \textrm{ and } (\textrm{not }B) ) =
Detecting terrorists is a real problem, one that causes governments to spend millions per year. A particular surveillance system has been developed which correctly identifies a future terrorist 99% of the times and detects someone who is not a future terrorist 99.9% of times. Suppose that in a population of 300 million, there are 1000 potential/future terrorists. If one of these 300 million is randomly selected and scrutinized by the system, what is the probability that the person selected is actually a future terrorist? Also explain if the value of this probability makes you uncomfortable about using a surveillance system? Explain.
11.) Upon arrival at a hospital emergency room, patients are categorized according to their conditions as critical, serious, or stable. In the past year: (i) 10% were critical (ii) 30% were serious (iii) the rest were stable (iv) 40% of critical patients died (v) 10% of serious patients died (vi) 1% of stable patients died Given that a patient survived, what is the probability that the patient was categorized as serious upon arrival? This is a Bayes' Theorem problems.
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A study considered risk factors for HIV infection among intravenous drug users [11]. It found that 40% of users who had ≤ 100 injections per month (light users) and 55% of users who had > 100 injections per month (heavy users) were HIV positive. A. Suppose we have a group of 10 light users and 10 heavy users. What is the probability that exactly 3 of the 20 users are HIV positive? B. What is the probability that at least 4 of the 20 users are HIV positive? Please show me the calculations by hand and not excel, I am trying to learn how to plug in these formulas myself and to solve without computer assistance. TY!
a) Mobile company Pear has established that mobile phone sales will increase in the next 6 months and that probability of such increase is 0.35. The probability that the interest rates on mobile financing loans will go up in the same period is estimated to be 0.70. The probability that mobile phone sales or interest rates will go up during the next 6 months is estimated to be 0.90. What is the probability that mobile phone sales will increase but interest rates will not during the next 6 months? Using probability rules, explain how you obtained the result.
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1. Assume your computer network may have been hacked and computers may have 2 different types of viruses (virus type-A and virus type-B). The current situation shows that 15% of computers end up with type-A virus, 10% end up with type-B virus, and 10% of the computers infected with type-A or type-B virus have both viruses. 1.a) Compute the probability that a computer is infected with both viruses 1.b) Compute the probability that a computer has type-B virus given that it has type-A virus
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