The average number of piralids on a certain trap cage of 10 cm is 6 per...
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average number of piralids on a certain trap cage of 10 cm is 6 per...
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.
6. A certain typing agency employs 3 typists. The average number of errors per article is...
6. A certain typing agency employs 3 typists. The average number of errors per article is 2.2 when typed by the first typist, 2.7 when typed by the second, and 3.1 when typed by the third. If your article is equally likely to be typed by any of the three typists, approximate the probability that it will have no errors. Again assume that for each typist the number of errors follows a Poisson distribution.
A bakery uses a particular ingredient at an average rate of 6 per week. Find the...
A bakery uses a particular ingredient at an average rate of 6 per week. Find the probability that: i. at least 6 are used in a particular week. ii. exactly 18 are used in a 3-week period. iii. exactly 6 are used in each of 3 successive weeks.
The number of accidents occurring per week on a certain stretch of motorway has a Poisson...
The number of accidents occurring per week on a certain stretch of motorway has a Poisson distribution with mean 24 Find the probability that in a randomly chosen week, there are between 3 and 6 (both inclusive) accidents on this stretch of motorway O 0.419 O 0.4303 O 04660 O 0534
The number of customers arriving per hour at a certain automobile service facility is assumed to...
The number of customers arriving per hour at a certain automobile service facility is assumed to follow a Poisson distribution with mean λ = 6. (a) Compute the probability that more than 20 customers will arrive in a 3-hour period. (b) What is the probability that the number of customers arriving in a 2-hour period will not exceed 40? (c) What is the mean number of arrivals during a 4-hour period?
A retail store has implemented procedures aimed at reducing the number of bad checks cashed by...
A retail store has implemented procedures aimed at reducing the number of bad checks cashed by its cashiers. The store's goal is to cash no more than eight bad checks per week. The average number of bad checks cashed is 19 per week. Let x denote the number of bad checks cashed per week. Assuming that x has a Poisson distribution: (a) Find the probability that the store's cashiers will not cash any bad checks in a particular week. (Round...
Buses arrive randomly to a certain bus stop at an average rate of 10 per hour...
Buses arrive randomly to a certain bus stop at an average rate of 10 per hour during the 10AM to 7PM time period. If you get to this bus stop at 1:00PM, what is the probability that the next bus arrives before 1:12PM a).08647 b).1667 c).1353 d) no answer
Poisson probablity process with a known average of 6 cars per hour (per 60 minutes). a....
Poisson probablity process with a known average of 6 cars per hour (per 60 minutes). a. Find the expected number of cars driving though in a 23 minutes period. (Round your final answer to1 decimal place.) b. Find the probability of at least 2 cars driving through in a given 23 minutes period. (Round your answer to 4 decimal places) Round you
6. For a certain section of a pine forest, the number X of diseased trees per...
6. For a certain section of a pine forest, the number X of diseased trees per acre has a Poisson distribution with mean λ = 5. (C) Suppose we have 4 plots of forest, each one acre in size, giving 4 independent Poisson random variables, X1, X2,..., X4 with mean λ = 5. Find the probability that at least two of the plots of forest have 2 or more diseased trees per acre.
The number of Rainy days in a week Year at a certain place is given below....
The number of Rainy days in a week Year at a certain place is given below. OVER a of rainy days 0 1 2 3 4 5 6 7 of times 6 12 9 8 7 5 4 1 number of rainy week. (0) Find the mean variance, and skewness of Rainy days in a (b) what is the probability that there will be 3 or less rainy day in any week?
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.
6. A certain typing agency employs 3 typists. The average number of errors per article is 2.2 when typed by the first typist, 2.7 when typed by the second, and 3.1 when typed by the third. If your article is equally likely to be typed by any of the three typists, approximate the probability that it will have no errors. Again assume that for each typist the number of errors follows a Poisson distribution.
The number of accidents occurring per week on a certain stretch of motorway has a Poisson distribution with mean 24 Find the probability that in a randomly chosen week, there are between 3 and 6 (both inclusive) accidents on this stretch of motorway O 0.419 O 0.4303 O 04660 O 0534
Poisson probablity process with a known average of 6 cars per hour (per 60 minutes). a. Find the expected number of cars driving though in a 23 minutes period. (Round your final answer to1 decimal place.) b. Find the probability of at least 2 cars driving through in a given 23 minutes period. (Round your answer to 4 decimal places) Round you
The number of Rainy days in a week Year at a certain place is given below. OVER a of rainy days 0 1 2 3 4 5 6 7 of times 6 12 9 8 7 5 4 1 number of rainy week. (0) Find the mean variance, and skewness of Rainy days in a (b) what is the probability that there will be 3 or less rainy day in any week?
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