The number of imperfections in the weave of a certain textile has a Poisson distribution with a mean of 4 per square yard. Find the probability that a
(A) 1-square-yard sample will contain two imperfections.
(B) 3-square-yard sample will contain at least one imperfection.
The number of imperfections in the weave of a certain textile has a Poisson distribution with...
Use the following information to answer questions 1 through 3. The number of imperfections (per square yard) in the weave of a certain textile has a Poisson distribution with a mean of two imperfections per square yard. (3) 1. What is the probability that a one-square-yard sample will have at least one imperfection? a. 0.1353 b. 0.2707 c. 0.5940 d. 0.8647 (3) 2. What is the standard deviation of the number of imperfections per square yard? a. 1.1892 b. 1.4142...
Can you help me with the following problem, if you could leave all the steps clearly for me to have a better understanding :) Problem The number of imperfections in the fabric of a fabric has a Poisson distribution with an average of four per square yard. a) Calculate the probability that a sample of one square yard has at least one defect. b) Calculate the probability that a sample of three square yards has at least one defect.
Question 3 The number of messages in certain corporate mailbox follows a Poisson distribution with a mean rate of 4 per minute. What is the probability that more than 9 messages are received in that mailbox in 2 minutes? Round your answers to at least two decimals.
Suppose that in a week the number of accidents at a certain crossing has a Poisson distribution with an average of 0.6 a) What is the probability that there are at least 3 accidents at the crossing for two weeks? b) What is the probability that the time between an accident and the next one is longer than 2 weeks?
1) The number of calls received at a certain information desk has a Poisson Distribution with an average of 6 calls per hour. (15 points) (a) Find the probability that there is at exactly one call during a 15 minute period. (You cannot use tables here - show all work) (b) Find the probability that at least 6 calls are received during a 30 minute period. (you may use tables here) ******************************** 2) Note that for the above problem, the...
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 7.67.6 per year. a. Find the probability that, in a year, there will be 66 hurricanes. b. In a 3535-year period, how many years are expected to have 66 hurricanes? c. How does the result from part (b) compare to a recent period of 3535 years in which 44 years had 66 hurricanes? Does the Poisson distribution work well here?
Asbestos fibers in a dust sample are identified by an electron microscope after sample preparation. Suppose that the number of fibers is a Poisson random variable and the mean number of fibers per square centimeter of surface dust is 100. A sample of 800 square centimeters of dust is analyzed. Assume that a particular grid cell under the microscope represents 1/160,000 of the sample. (a) What is the probability that at least one fiber is visible in the grid cell?...
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
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.
Help me solve this qiestion asap 10. (a) In one indoor playground, the number of children playing at the playground has a Poisson distribution with average 12 children in half an hour. Find the mean and variance of the number of children within 12.00pm to 2.30pm 3 marks] In a random survey, 6% of people take their dinner while watching television. If the sample consists of 50 adult and Y is the number of people in this sample who take...