A certain type of tree has seedlings randomly dispersed in a large area, with the mean densityof seedlings being approximately three per square yard. If the seedlings are randomly dispersed,the number of seedlings per region, Y can be modelled as a Poisson random variable. If a1forester randomly locates ten 1-square-yard sampling regions in the area, the probability thatnone of the regions will contain seedlings is 0.0498.2.3.1 If the seedlings really are randomly dispersed, the number of seedlings per region,Y, can be modelled as a Poisson random variable with 2 = 3. Interpret 1 =3.2.3.2 State the moment generating function_of the random variable Y.

Answered: Image /qna-images/answer/f412ad4c-f8e1-4534-babc-3af7af0a4a9c.jpg

Answered: forester randomly locates ten…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume a normally distributed population of resting heart rates with μ = 76 and σ = 5. Compute the z-score for a heart rate of 73. What is the probability of randomly selecting someone whose heart rate is below 73? What is the probability of randomly selecting someone whose heart rate above 79? What is the probability of randomly selecting someone whose heart rate either below 60 or above 90?
Q4) Find the p-value for the table above
Exercise 5.4 A lot of 75 washers contains 5 defectives whose variability in thickness is unacceptably large. A sample of 10 washers is selected at random without replacement. 1. Determine the probability mass function of the number of defective washers (X) in the sample. 2. Find the probability that at least one unacceptable washer is in the sample. 3. Calculate the mean and variance of X.
Suppose that the time. in days, required to repair a heat pump is a random variable X having a gamma distribution with parameters k = 8 and A = 2. What is the probability that on the next service call (a) at most 3 day will be required to repair the heat pump? (b) at least 2 days will be required to repair the heat pump? %3D %3D
The U.S. Geological Survey compiled historical data about Old Faithful Geyser (Yellowstone National Park) from 1870 to 1987. Let x1 be a random variable that represents the time interval (in minutes) between Old Faithful eruptions for the years 1948 to 1952. Based on 9520 observations, the sample mean interval was x1 = 62.8 minutes. Let x2 be a random variable that represents the time interval in minutes between Old Faithful eruptions for the years 1983 to 1987. Based on 23,117 observations, the sample mean time interval was x2 = 73.0 minutes. Historical data suggest that ?1 = 8.98 minutes and ?2 = 12.83 minutes. Let ?1 be the population mean of x1 and let ?2 be the population mean of x2. (a) Compute a 90% confidence interval for ?1 – ?2. (Use 2 decimal places.) lower limit upper limit (b) Comment on the meaning of the confidence interval in the context of this problem. Does the interval consist of positive numbers only? negative numbers only? a mix of positive and…
The average length of time for students to register in the second semester at a certain university has been 55 minutes. A new registration procedure is being tested. If random samples of 16 students have an average of 50 minutes with standard deviation of 12 minutes under system, can you conclude that the new system is faster than the old one? Assume that the average length of time is normally distributed. Use ά = 0.05.
Q4 For the tornado events in a certain region, the tornado-induced wind speed can be modeled by a lognormal random variable with a mean value of ux = 120 mph and a standard deviation of ox = 12 mph. a) Calculate the probability that the wind speed will be between 100 mph and 130 mph in a tornado event. b) If a structure located in this region is designed to resist for wind speed of 150 mph, what is the probability that the structure will be damaged during such a tornado?
The data shown in the table represent the measurements of 10-kΩ resistors (in kΩ) produced from five different machines. A random sample of nine resistors from each machine is taken to determine whether the mean resistance varies from one machine to another. Perform analysis of variance and test the hypothesis at the 0.05 level of significance that the mean resistances differ significantly for the five machines, all through manual computations. Show all complete and systematic solutions.
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