3.3 Solve the below problem:Assume that Y denotes the number of bacteria per cubic centimeter in a particular liquid andthat Y has a Poisson distribution with parameter 2. Further assume that A varies from locationto location and has an Exponential distribution with parameter B, where ß is a positive integer.If we randomly select a location, what is the expected number of bacteria per cubic centimeter?

Answered: Image /qna-images/answer/4165fef7-e6e9-4d52-aadb-a396f35d112b.jpg

Answered: Assume that Y denotes the number of…

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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Let X be the TSH level in an individual. It is assumed that X has an exponential distribution with a mean of 3 µIU /mL. A sample of 12 workers from a logging company is taken. If more than half of the individuals in the sample have TSH levels greater than 4.8 µUI /mL, an intervention program is carried out with the total number of workers in the company. How likely is the intervention program to be needed? a) 0,004 b) 0,006 c) 0,086 d) 0,005 e) 0,003
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.20 ml/kg for the distribution of blood plasma.
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 40 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.40 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limitupper limitmargin of error (b) What conditions are necessary for your calculations? (Select all that apply.) n is largeσ is knownσ is unknownthe distribution of weights is uniformthe distribution of weights is normal (c) Interpret your results in the context of this problem. We are 99% confident that the true average blood plasma…
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 40 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.00 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) a) σ is known b)the distribution of weights is uniform c)n is large d)the distribution of weights is normalσ is unknown (c) Interpret your results in the context of this problem. a)99% of the intervals…
Let x, x2, ..., Xn be a random sample from a Poisson distribution with parameter 2. Find ML estimator of 2. Also find its variance.
Let X₁, X2,..., Xñ be a random sample from the exponential distribution with rate parameter A. (a) Find the CRLB for the variance of all unbiased estimators of X. (b) Find the efficiency of the MLE of X. (c) Find the CRLB for the variance of all unbiased estimators of E(X) = 1/λ. (d) Can you find an estimator of E(X) = 1/λ that is efficient? Justify your answer.
For a random sample X1, X2, ..., X, following an Exponential(rate = 1/μ) distribution, we have seen that the large sample distribution of the sample mean X follows a Normal distribution with mean parameter µ and the variance parameter μ²/n. Suppose that we have a sample of size n = 25 from an exponential population with mean μ and we want to test n Hoμ = 2 v/s Hд μ # 2. Use the large sample distribution of ☑ to compute an approximate p-value for the test if we observe x = 2.6 and state the conclusion of your test at the 5% level of significance.
k = Question 5 Suppose the random variables X and Y have a pdf given by f (x, y) = x+y on 0 Y). prob = b. Find F (,글): ans = Question 6 ch 30 Hisense
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 43 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.50 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit 1 upper limit 2 margin of error 3 (b) What conditions are necessary for your calculations? (Select all that apply.) n is large the distribution of weights is normal σ is known the distribution of weights is uniform σ is unknown (c) Interpret your results in the context of this problem. 1% of the intervals created using…
The joint distribution of X and Y is: Pxy(0,0)=1/10, Pxy(0,1)=a, Px,y(0,2)=2/10 Pxy(1,0)=a, Pxy(1,1)=b, Pxy(2,0)=2/10, Pxy(2,1)=a, Pxy(2,2)=1/10 Pxy(1,2)=a X,Y You want "a" to make the variance of Y as minimum as possible. The variance of Y equals. Select one: a. 1/2 b. 6/25 с. 2/5 d. 3/10 е. 3/5
Q5 Find the variance for the PDF px(x) = e-«/2, x > 0.
The value of the correlation r = (x,y) for the information would be: n = 8, Sum(x) = 609, Sum(y) = 504, Sum (x)^2 = 47995, Sum (y)^2 = 32954, and Sum (xy) = 395650 0.255 0.147 0.855 0.174

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