The owner of a tree farm specializes in growing pine trees. They are grown in rows of 50 trees and the owner has found on the average, about 4 trees per row will not be suitable to sell. Assuming that the Poisson distribution is applicable here, find the probability that a row of tree selected for shipment will contain 2 unsaleable trees.

The owner of a tree farm specializes in growing pine trees. They are grown in rows of 50 trees and the owner has found on the average, about 4 trees per row will not be suitable to sell. Assuming that the Poisson distribution is applicable here, find the probability that a row of tree selected for shipment will contain 2 unsaleable trees.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

See similar textbooks

Related questions

Q: probability that there will be exactly two accidents at the intersection during a week?

A: The number of accidents per day at a busy intersection has a Poisson distribution with mean 0.5…

Q: 21. The probability that a driver making a gas purchase will pay by credit card is 3/5. If six cars…

A: Givenprobability that a driver making a gas purchase will pay by credicard(p)=35=0.6sample…

Q: If arrivals follow a Poisson distribution with mean 3 arrivals per minute, find the probability that…

Q: If the random variable x has a Poisson distribution With mean u=6, find the probability that x =17.…

Q: Suppose that for a very large shipment of integrated circuit chips, the probability of failure for…

A: From the given information, n=20 and the probability of failure for any chip is 0.40.

Q: Suppose that the number of cars crossing a bridge per day follows a Poisson distribution with an…

Q: The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120…

A: Given,A random variable X~U(120 , 150)f(x)=1150-120f(x)=130 ; 120≤X≤150

Q: 10. A certain type of aluminum screen that is 2 feet wide has on average one flaw in a 100-foot roll…

A: We have given that Average number of flaw in 100 foot roll λ = 1 Let X number of flaws follow…

Q: 4. In a time-sharing computer system, the number of teleport inquiries averages 0.2 per millisecond…

Q: 4. The time between arrivals of customers at the drive-up window of a bank follows an exponential…

A: Given,A random variable X~Exponential(θ=110)P(X=x)=110 e-x10 ; X≥0

Q: Suppose that the number of calls coming per minute into an airline reservation center follows a…

Q: A lumber inspector has found that the face of 2 by 8’s lumber produced at her mill averages 4 knots…

Q: Ocean wave heights affect a pier in an African port. Wave height affect the forces on the pier. All…

A: a) Let X be the maximum annual wave heights are Normally distribution and have a mean of 12 ft and…

Q: The number of rainstorms in a week follows a Poisson distribution with mean 1.2. Weeks are mutually…

A: It is given that, the number of rainstorms in a week follows a Poisson distribution with mean 1.2.

Q: 6. An automobile manufacturer is concerned about a fault in the braking mechanism of a particular…

Q: The number of new customers per week is Poisson with mean rate 4. What is the probability of 2, 3,…

Q: The flight time between two cities follows a uniform distribution, between 55 minutes and 75…

A: Let x be the flight time between two cities.x follows a uniform…

Q: The number of forklift topples in an area follows a poisson-process with rate 3 accidents per week.…

A: It is an important part of statistics . It is widely used .

Q: If life length ( in hours ) of certain kind of device follows chi - squared distribution with dof…

A: We are given that:Life length of the devices follows a chi-squared distribution with 10 degrees of…

Q: Officer Thompson of the Bay Ridge Police Department works the graveyard shift. He averages 4.5 calls…

A: Given that He averages 4.5 calls per shift from this dispatcher. X ~ Poisson (λ = 4.5)

Q: 2. Give the probability generating function for an offspring distribution in which an individual…

A: Probability generating function of an offspring distribution =? An individual either dies with…

Question

4. The owner of a tree farm specializes in growing pine trees. They are grown in rows of

50 trees and the owner has found on the average, about 4 trees per row will not be

suitable to sell. Assuming that the Poisson distribution is applicable here, find the

probability that a row of tree selected for shipment will contain 2 unsaleable trees.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

4. Researchers working for a sports drink company would like to know if a new blend if its popular sports drink can help improve marathon runners' final running time. Marathon times, Y, are known to follow a Normal distribution. Suppose that runners using the old blend sports drink have a mean finishing time of 300 minutes = 300 minutes). A random sample of 20 runners was selected to use the new blend of sports drink in a marathon, finishing with an average time of 270 minutes and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be claimed that the new blend lowers finishing times? Or is it possible that random chance alone can explain the discrepancy? Carry out a hypothesis test of the true mean u using the 4- step procedure. Set your alpha-level to 0.05. b. Which is the correct alternative hypothesis? O i. HA: H = 300 min O ii: HA: H = 270 min i. HA: µ < 300 min iv: H.:u 270 min
4. Researchers working for a sports drink company would like to know if a new blend if its popular sports drink can help improve marathon runners' final running time. Marathon times, Y, are known to follow a Normal distribution. Suppose that runners using the old blend sports drink have a mean finishing time of 300 minutes (H = 300 minutes). A random sample of 20 runners was selected to use the new blend of sports drink in a marathon, finishing with an average time of 270 minutes and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be claimed that the new blend lowers finishing times? Or is it possible that random chance alone can explain the discrepancy? Carry out a hypothesis test of the true mean u using the 4- step procedure. Set your alpha-level to 0.05. a. Which is the correct null hypothesis? O i. Ho: µ = 300 min O ii: Ho: µ = 270 min %3D O ii. Ho: µ < 300 min iv: Ho: µ < 270 min
Please no written by hand
4. Researchers working for a sports drink company would like to know if a new blend if its popular sports drink can help improve marathon runners' final running time. Marathon times, Y, are known to follow a Normal distribution. Suppose that runners using the old blend sports drink have a mean finishing time of 300 minutes (u = 300 minutes). A random sample of 20 runners was selected to use the new blend of sports drink in a marathon, finishing with an average time of 270 minutes and a standard deviation of 20 minutes (). Can it be claimed that the new blend lowers finishing times? Or is it possible that random chance alone can explain the discrepancy? Carry out a hypothesis test of the true mean u using the 4-step procedure. Set your alpha-level to 0.05. e. Calculate the value of the test statistic. Round to two significant digits (e.g. 1.23).
4. Researchers working for a sports drink company would like to know if a new blend if its popular sports drink can help improve marathon runners' final running time. Marathon times, Y, are known to follow a Normal distribution. Suppose that runners using the old blend sports drink have a mean finishing time of 300 minutes (u = 300 minutes). A random sample of 20 runners was selected to use the new blend of sports drink in a marathon, finishing with an average time of 270 minutes and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be claimed that the new blend lowers finishing times? Or is it possible that random chance alone can explain the discrepancy? Carry out a hypothesis test of the true mean u using the 4- step procedure. Set your alpha-level to 0.05. d. What is the critical value associated with an alpha-level of 0.05? O i. -1.96 O ii. -1.729 iii. -1.645 iv. -1.333
4. Researchers working for a sports drink company would like to know if a new blend if its popular sports drink can help improve marathon runners' final running time. Marathon times, Y, are known to follow a Normal distribution. Suppose that runners using the old blend sports drink have a mean finishing time of 300 minutes (µ = 300 minutes). A random sample of 20 runners was selected to use the new blend of sports drink in a marathon, finishing with an average time of 270 minutes and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be claimed that the new blend lowers finishing times? COr is it possible that random chance alone can explain the discrepancy? Carry out a hypothesis test of the true mean u using the 4- step procedure. Set your alpha-level to 0.05. %3D c. Which test statistic and sampling distribution under the null should we use? O i. z-score; standard Normal O ii. t-statistic; Student'st
4. (Whitlock and Schluter, 2009) Can a human swim faster in water or in syrup? An experiment was done in which researchers filled one pool with water mixed with syrup and another pool with normal water. They had 18 swimmers swim laps in both pools and recorded the relative speed of each swimmer (each swimmer's speed in the syrupy pool divided by his or her speed in the water pool). The data, which are approximately normally distribution, are as follows: 1.08 0.94 1.07 1.04 1.02 1.01 0.96 1.04 1.02 1.01 0.95 1.02 1.08 1.02 0.96 0.98 0.99 1.02 a. Using a critical value from a t distribution, construct a 95% confidence interval for the mean relative speed if the average relative speed in this sample of swimmers is 1.01 and the standard deviation of the relative speed in this sample of swimmers is 0.04. b. Based on the confidence interval obtained in part a), what can be said about the p-value for the test of hypothesis Ho: the mean relative speed is equal to 1 (i.e., swimming speed in…
The Johnson & Johnson Company operates 6 identical machines that are serviced by a single technician when they breakdown. These breakdowns occur according to the Poisson distribution and average 0.03 breakdowns per machine operating hour. Average repair time for a machine is 5 hours and follows the exponential distribution. a) What percent of the technician's time is spent repairing machines? Answer in 4 decimal places. Blank 1 b) On average, how long is a machine out of service because of a breakdown? Answer in 2 decimal places. Blank 2 c) On average, how many machines are out of service? Answer in 1 decimal place. Blank 3 Blank 1 Blank 2 Blank 3 Add your answer Add your answer Add your answer
The U.S. Census Bureau estimates that American workers spend and average time of 27 minutes travel time to work. The travel time to work for American workers is known to be approximately normally distributed. A random sample of 20 American workers in the Chicago metropolitan area was taken and their travel times to work were recorded. If we have a data set where the shortest travel time is 6.6 minutes and the longest travel time is 62.2 minutes, what is an acceptable estimate for the value of the sample standard deviation of the travel times in the sample? Assume answers are rounding the nearest tenth of a minute.
2. A crew of mechanics at the Department of Transportation garage make minor repairs to snowplows during the winter. The snowplows break down at an average rate of 4 vehicles per day and breakdowns are distributed according to the Poisson distribution. The mechanic can service an average of 7 vehicles per day with a repair time distribution that approximates a negative exponential distribution. Assume an 8 hour day. Determine the average time that a snowplow is out of service. Group of answer choices 2.67 hours 0.33 hours 20 minutes 0.19 days
Suppose a study is conducted using only Boeing 737s traveling 800Kms on comparable routes during the same season of the year. Can the number of passengers predict the cost of flying such routes? It seems logical that more passengers result in more weight and more baggage, which could, in turn, result in increased fuel consumption and other costs. Suppose the data displayed in the table below are the costs and associated number of passengers for twelve 800-kms commercial airline flights using Boeing 737s during the same season of the year. We will use these data to develop a regression model to predict cost by number of passengers. A plot of the data collected is shown in Figure 3. Cost 600 550 500 450 400 350 300 5 6 6 7 7 8 Number of Passengers 8 9 9 10 Figure 3: Scatter plot of number of passengers on the x-axis and Cost on the y-axis.
Mr. Dela Cruz can take either two roads to the airport from his home (Road A or Road B). Owing to varying traffic conditions that travel times on two roads are not fixed, rather on a Friday around noon that travel times across these roads can be approximated per normal distribution as follows: Road A: μ = 54 minutes and σ = 5 minutes. Road B: μ = 57 minutes and σ = 10 minutes. Which road should he choose if on Friday noon he must be at the airport within 50 minutes to pick up his wife?