Basic Probability (Averages)

1. Suppose that the monthly worldwide average of airplane crashes of commercial planes is 2.0. (a) What is the probability of exactly 6 crashes in the first 3 months? (b) What is the probability of having exactly 2 crashes in each of the first two months? (c) What is the probability of having exactly 2 crashes in the each of the first two months, given that there are exactly 6 crashes in the first 3 months? *Please specify the terms you use (if necessary) and explain each step of your solutions.

Basic Probability

Each of 500 soldiers in an army company independently has a certain disease with probability 1/10[cubed]. This disease will show up in a blood test, and to facilitate matters blood samples from all 500 are pooled and tested. See attachment for related questions. (Note: The problems are from 400 level probability class but introductory course. Please specify the terms you use, if necessary, and explain each step of your solutions)

Basic Probability

Each of 500 soldiers in an army company independently has a certain disease with probability 1/10[cubed]. This disease will show up in a blood test, and to facilitate matters blood samples from all 500 are pooled and tested. See attachment for related questions (only a and b). (Note: The problems are from 400 level probability class but introductory course. Please specify the terms you use, if necessary, and explain each step of your solutions)

Basic Probability (Averages)

1. Suppose that the monthly worldwide average of airplane crashes of commercial planes is 2.0. (a) What is the probability of exactly 6 crashes in the first 3 months? (b) What is the probability of having exactly 2 crashes in each of the first two months? (c) What is the probability of having exactly 2 crashes in the each of the first two months, given that there are exactly 6 crashes in the first 3 months? (I believe that we can get numerical answers for the problem. If you don't agree, you don't need to solve.) *The problems are from 400 level probability class but introductory course. Please specify the terms you use (if necessary) and explain each step of your solutions.

Probability (Pooled Test / Individual Tests)

Only answer parts C) and D) of the attached question, please. Each of 500 soldiers in an army company independently has a certain disease with probability 1/10[cubed]. This disease will show up in a blood test, and to facilitate matters blood samples from all 500 are pooled and tested. One of the 500 people is Jones, who knows that he has the disease. C) What does Jones think is the probability that more than one person has the disease? As the pooled test was positive, the authorities have decided to test each individial seperately. The first i - 1 of these tests were negative, and the i-th one - which was Jones - was positive D) Given the prededing, as a function of i, what is the pro... click for more