A lumber inspector has found that the face of 2 by 8’s lumber produced at her mill averages 4 knots per board. If the number of knots on a board follows a Poisson distribution, what is the probability of finding more than 3 knots on two 2 by 8’s?
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A lumber inspector has found that the face of 2 by 8’s lumber produced at her mill averages 4 knots per board. If the number
of knots on a board follows a Poisson distribution, what is the probability of finding more than 3 knots on two 2 by 8’s?
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- Please in detail, AsapA lumber inspector has found that the face of 2 by 8's lumber produced at her mill averages 4 knots per board. If the number of knots on a boards follows a Poisson distribution, what is the probability of finding more than 3 knots on two 2 by 8's?An amusement park keeps track of the percentage of individuals with season passes according to age category. An independent tourist company would like to show that this distribution of age category for individuals buying season passes is different from what the amusement park claims. The tourist company randomly sampled 200 individuals entering the park with a season pass and recorded the number of individuals within each age category. Age Category Child (under 13 years old) Teen (13 to 19 years old) Adult (20 to 55 years old) Senior (56 years old and over) Number of Individuals 56 86 44 14 The tourist company will use the data to test the amusement park’s claim, which is reflected in the following null hypothesis. H0:pchild=0.23H0:pchild=0.23, pteen=0.45pteen=0.45, padult=0.20padult=0.20, and psenior=0.12psenior=0.12. What inference procedure will the company use to investigate whether or not the distribution of age category for individuals with season passes is…
- Each day a hospital records the number of people who come to the emergency room for treatment. In the last week, the observation from Sunday to Saturday are 11, 8, 12, 14, 7, 39, 57. Would you expect the Poisson distribution to better describe, or more poorly describe, the number of weekly admissions to the hospital for a rare disease? Why?On average, a J&T delivery rider can deliver 10 packages to their respective owners in one hour. Based on this data, what is the probability that the rider can deliver at most 4 packages in half an hour? Use Poisson distribution.he Princeton Review, a company that tracks information about various colleges, reports that 30% of CofC students are out-of-state students. If we took many samples of CofC students, and for each sample calculate the proportion $\hat{p}$ of out-of-state students in that sample, what would be the center of this distribution?
- Question 3 What is the answer to part (iv) Flaws occur at random along the length of a thin copper wire. Assume that the number of flaws follow a Poisson distribution with a mean of 2.3 flaws per millimetre. (i) Determine the probability of exactly 3 flaws in 1 millimetre of wire. ii) Determine the probability of 10 flaws in 5 millimetres of wire. iii) Determine the probability of at least 2 flaws in 2 millimetres of wire. (iv) What is the expectation and standard deviation for the aforementioned distribution?The amount that households pay service providers for access to the Internet varies depending on the speed the household is looking for. It is determined the distribution is slightly skewed right with a mean monthly fee is $38 and a standard deviation of $10. Many households pay about $20 for limited broadband speed or about $40 for faster broadband speed, but some pay much more for lighting fast broadband speeds. a) Can you find the probability of a randomly selected household paying more than $40 for internet? Explain. b) AT&T has just released a new coverage area. AT&T hopes the new coverage area will help them increase their monthly profit by a minimum of $2000. What is the probability that the total amount of profit for 50 randomly selected households exceeds $2000?A merchant sells on the average 2.3 cakes on a round of his route. Cakes are packaged two to a box but are sold individually. At the end of the round, the salesman eats any cake left over in a box that has been opened. He only opens a box after emptying the previous box. If the number of cakes sold has a Poisson distribution, then on what proportion of rounds does he have a cake to eat? (4 decimal accuracy).
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