Suppose that the number of Bigfoot sightings per year in the Northwestern US is well-modeled by...
Suppose that the number of Bigfoot sightings per year in the Northwestern US is well-modeled by a Poisson random variable with an average of 3 sightings occurring per year. Calculate the probability that in a given year there are at least 4 sightings in this region, given that there are at least 2 sightings.
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Suppose that the number of Bigfoot sightings per year in the
Northwestern US is well-modeled by...
PROBLEM 2 The number of accidents in a certain city is modeled by a Poisson random variable with average rate of 10 acc...
PROBLEM 2 The number of accidents in a certain city is modeled by a Poisson random variable with average rate of 10 accidents per day. Suppose that the number of accidents in different days are independent. Use the central limit theorem to find the probability that there will be more than 3800 accidents in a certain year. Assume that there are 365 days in a year.
3. The number of earthquakes per year in a certain region is a Poison random variable....
3. The number of earthquakes per year in a certain region is a Poison random variable. The probability that no earthquake occurs in a given year in the region is 0.86. Find the probability that at least 2 carthquak es occur in a given year.
8. Assume that the number of student complaints that arrive at dean's office can be modeled...
8. Assume that the number of student complaints that arrive at dean's office can be modeled as a Poisson random variable. Also assume that on the average there are 5 calls per hour. a) What is the probability that there are exactly 8 complaints in one hour? b) What is the probability that there are 3 or fewer complaints in one hour? c) What is the probability that there are exactly 12 complaints in two hours? d) What is the...
8. Assume that the number of student complaints that arrive at dean's office can be modeled...
8. Assume that the number of student complaints that arrive at dean's office can be modeled as a Poisson random variable. Also assume that on the average there are 5 calls per hour. a) What is the probability that there are exactly 8 complaints in one hour? b) What is the probability that there are 3 or fewer complaints in one hour? c) What is the probability that there are exactly 12 complaints in two hours? d) What is the...
Poisson Random Variables Part 1 A process is modeled by a random variable with density Poisson(k;...
Poisson Random Variables Part 1 A process is modeled by a random variable with density Poisson(k; 4.2). What is the probability that the process takes on the value 3?! What is the probability that the process takes on a value less than 6 ? Part 2 The number of defective products produced by a factory in one day is modeled by a random variable with density Poisson(k: 11.2). What is the probability that 9 defective products are produced in a...
Hurricanes in a particular place arrive with a mean of 3.25 per year. Suppose the number...
Hurricanes in a particular place arrive with a mean of 3.25 per year. Suppose the number of hurricanes can be modeled by a Poisson distribution with this mean. a) What's the probability of no hurricanes next year? b) What's the probability that during the next two years, there's exactly 1 hurricane?
The number of accidents per month, in Silicon Valley, is modeled by a Poisson distribution with...
The number of accidents per month, in Silicon Valley, is modeled by a Poisson distribution with mean of 3. Determine the expected number of accidents in a month in Silicon Valley, given that there were at least 3 accidents in that month. 3.000 3.675 4.165 4.553 5.201
4. Suppose the number of students who come to office hours on the ith day is modeled as a random ...
4. Suppose the number of students who come to office hours on the ith day is modeled as a random variable X;. a) What is a reasonable probability model for the distribution of X,? b) Using the CLT, produce an approximate 80% confidence interval for the true population mean number of students who come to office hours each day given the following summary of a random sample of days: Σ-in-186. ays: Σ401Χί = 186.
4. Suppose the number of students...
Suppose that visits to a website can be modeled by a Poisson process with a rate λ=10 per hour (a...
suppose that visits to a website can be modeled by a Poisson
process with a rate λ=10 per hour
(a) What is the probability that there are more than or equal to
2 visits within a given 1/2 hour interval
(b) A supervisor starts to monitor the website from the start of
a new shift. then what is the expected value of time waited by the
supervisor until the 10th visit to the website during that
shift?
Suppose that visits...
. The number of students crying during a 90 minute probability test is modeled by a...
. The number of students crying during a 90 minute probability test is modeled by a Poisson random variable X. (a) If p(0 < x < 3) = 18p(x = 3), find λ. (b) Compute p(x < 5). (c) Assuming the same ratio of student crying over the course of a 10 hour probability test, compute p(x = 4).
PROBLEM 2 The number of accidents in a certain city is modeled by a Poisson random variable with average rate of 10 accidents per day. Suppose that the number of accidents in different days are independent. Use the central limit theorem to find the probability that there will be more than 3800 accidents in a certain year. Assume that there are 365 days in a year.
3. The number of earthquakes per year in a certain region is a Poison random variable. The probability that no earthquake occurs in a given year in the region is 0.86. Find the probability that at least 2 carthquak es occur in a given year.
8. Assume that the number of student complaints that arrive at dean's office can be modeled as a Poisson random variable. Also assume that on the average there are 5 calls per hour. a) What is the probability that there are exactly 8 complaints in one hour? b) What is the probability that there are 3 or fewer complaints in one hour? c) What is the probability that there are exactly 12 complaints in two hours? d) What is the...
8. Assume that the number of student complaints that arrive at dean's office can be modeled as a Poisson random variable. Also assume that on the average there are 5 calls per hour. a) What is the probability that there are exactly 8 complaints in one hour? b) What is the probability that there are 3 or fewer complaints in one hour? c) What is the probability that there are exactly 12 complaints in two hours? d) What is the...
Poisson Random Variables Part 1 A process is modeled by a random variable with density Poisson(k; 4.2). What is the probability that the process takes on the value 3?! What is the probability that the process takes on a value less than 6 ? Part 2 The number of defective products produced by a factory in one day is modeled by a random variable with density Poisson(k: 11.2). What is the probability that 9 defective products are produced in a...
4. Suppose the number of students who come to office hours on the ith day is modeled as a random variable X;. a) What is a reasonable probability model for the distribution of X,? b) Using the CLT, produce an approximate 80% confidence interval for the true population mean number of students who come to office hours each day given the following summary of a random sample of days: Σ-in-186. ays: Σ401Χί = 186.
4. Suppose the number of students...
suppose that visits to a website can be modeled by a Poisson
process with a rate λ=10 per hour
(a) What is the probability that there are more than or equal to
2 visits within a given 1/2 hour interval
(b) A supervisor starts to monitor the website from the start of
a new shift. then what is the expected value of time waited by the
supervisor until the 10th visit to the website during that
shift?
Suppose that visits...
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