100 pigeons P1, ..., P100 fly into 500 labelled holes h1, ..., h500. Each pigeon picks...
100 pigeons P1, ..., P100 fly into 500 labelled holes h1, ..., h500. Each pigeon picks a hole uniformly at random and independently from the choices of the other pigeons.
What is the probability that at least one hole contains at least 3 pigeons.
The answer is supposed to be 0.4361298523736379.
Homework Answers
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100 pigeons P1, ..., P100 fly into 500 labelled holes h1, ...,
h500. Each pigeon picks...
5. Random pigeonholing 100 pigeons p1,…,p100 fly into 500 labelled holes h1,…,h500. Each pigeon picks a...
5. Random pigeonholing
100 pigeons p1,…,p100 fly into 500 labelled holes h1,…,h500.
Each pigeon picks a hole uniformly at random and independently from
the choices of the other pigeons.
What is the probability that at least one hole contains at
least 2 pigeons.
Hint: The answer is approximately 0.9999758457295991
What is the probability that at least one hole contains at
least 3 pigeons.
Hint: The answer is approximately 0.4361298523736379.
5. Random pigeonholing 100 pigeons P1,...,P100 fly into 500 labelled holes...
4. Suppose a random number generator generates 20 numbers per second, where each number is drawn...
4. Suppose a random number generator generates 20 numbers per second, where each number is drawn uniformly from the interval 9,10), independently of all other numbers. We are interested in the event that one of the drawn numbers is very close to Usain Bolt's 100m sprint world record, that is, that this number belongs to the interval (9.575, 9.585). (a) Suppose that the random number generator runs for 10 seconds. Use the Poisson approximation to estimate the probability that it...
Please answer all of the following. The boxplot below shows the number of contacts in their...
Please answer all of the following.
The boxplot below shows the number of contacts in their cell by gender for my Spring 2018 statistics classes. Using the boxplot, answer the 4 questions below. Boxplot of CellNumbers 900 800 700 600 500 400 300 200 100 0 Male Female Gender CellNumbers Which distribution has 3 outliers? Which distribution appears skewed right, excluding 1. Male 1 outliers? 2. Female Which distribution is 1 3. Both less variable (has the smaller IQR)? 4....
Rush Inuit is an impulsive, fly-by-the-seat-of-his-pants kind of guy. His best friend, Stu Earley, is the...
Rush Inuit is an impulsive, fly-by-the-seat-of-his-pants kind of guy. His best friend, Stu Earley, is the exact opposite – cautious and reluctant. The two are recent UNCG graduates who roomed together all … ahem … eight years. You know who they are even though they graduated last year because everyone on campus knows Rush and Stu – they’re legends on the social scene. To make ends meet during college, Rush and Stu organized fun trips to exciting destinations and charged...
photos for each question are all in a row (1 point) In the following questions, use...
photos for each question are all in a row
(1 point) In the following questions, use the normal distribution to find a confidence interval for a difference in proportions pu - P2 given the relevant sample results. Give the best point estimate for p. - P2, the margin of error, and the confidence interval. Assume the results come from random samples. Give your answers to 4 decimal places. 300. Use 1. A 80% interval for pı - P2 given that...
5. Random pigeonholing
100 pigeons p1,…,p100 fly into 500 labelled holes h1,…,h500.
Each pigeon picks a hole uniformly at random and independently from
the choices of the other pigeons.
What is the probability that at least one hole contains at
least 2 pigeons.
Hint: The answer is approximately 0.9999758457295991
What is the probability that at least one hole contains at
least 3 pigeons.
Hint: The answer is approximately 0.4361298523736379.
5. Random pigeonholing 100 pigeons P1,...,P100 fly into 500 labelled holes...
4. Suppose a random number generator generates 20 numbers per second, where each number is drawn uniformly from the interval 9,10), independently of all other numbers. We are interested in the event that one of the drawn numbers is very close to Usain Bolt's 100m sprint world record, that is, that this number belongs to the interval (9.575, 9.585). (a) Suppose that the random number generator runs for 10 seconds. Use the Poisson approximation to estimate the probability that it...
Please answer all of the following.
The boxplot below shows the number of contacts in their cell by gender for my Spring 2018 statistics classes. Using the boxplot, answer the 4 questions below. Boxplot of CellNumbers 900 800 700 600 500 400 300 200 100 0 Male Female Gender CellNumbers Which distribution has 3 outliers? Which distribution appears skewed right, excluding 1. Male 1 outliers? 2. Female Which distribution is 1 3. Both less variable (has the smaller IQR)? 4....
photos for each question are all in a row
(1 point) In the following questions, use the normal distribution to find a confidence interval for a difference in proportions pu - P2 given the relevant sample results. Give the best point estimate for p. - P2, the margin of error, and the confidence interval. Assume the results come from random samples. Give your answers to 4 decimal places. 300. Use 1. A 80% interval for pı - P2 given that...
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