Question: Let X1, . . ., Xn be a random sample from a Poisson distribution with parameter . (a) Construct a 90% confidence interval for .

Let X1, . . ., Xn be a random sample from a Poisson with parameter λ.
(a) Construct a 90% confidence interval for λ.
(b) Suppose that the number of raisins in a bowl of a particular brand of cereal is observed to be 25. Assuming that the number of raisins in a bowl is Poisson distributed, estimate the expected number of raisins per bowl with a 90% confidence interval.
(c) How many bowls of cereal need to be sampled in order to estimate the expected number of raisins per bowl with a standard error of less than 0.2?

Step by Step Solution

★★★★★

3.50 Rating (173 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a Exact Normal approximation b c The exact method doesnt chan... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

610-M-S-O-T-S-E (855).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Tyrell Co, entered into the following transactions involving short-term liabilities. Year 1 Apr. 20 Purchased $40,250 of merchandise on credit from Locust, terms n/30. May 19 Replaced the April 20...

Let X1,..., Xn be a random sample from a n(Î¼, Ï2) population, where both Î¼ and Ï2 are unknown. Each of the following methods of finding confidence intervals for...

A function y = f(x) is defined as follows: y = f(x) 1.0 1.025 1.049 1.072 Compute the values of dyldx and vidr at x =1.05. X 1.0 1.05 1.10 1.15 X 1.20 1.25 1.30 y = f(x) 1.095 1.118 1.140

(a) Let X1, . . ., Xn be a random sample from a Poisson distribution with parameter Î». Derive a (1 Î±) 100% large sample confidence interval for Î». (b) To date...

Could you please show me how to calculate this with the poisson distribution? My first attempt was to multiply 0.8 and 1.2 by (n=2) because Xn is a sample mean, then calculate it using central limit...

Let X1, . . ., Xn be a random sample from a Poisson distribution with parameter . Show that the sample mean X-bar is sufficient for .

4. Let X1, . .., Xn be iid random sample from a Poisson distribution with parameter 0. Find the conditional expectation of E(X1 + 2X2 + 3X3) _1-, Xi = t)

a. Let X1,..., Xn be a random sample from a Poisson population with parameter A and define Y = Xi. In Example 9.2.15 a confidence interval for Î» was found using the method of Section...

q1: Train a variational autoencoder on any image dataset, then use the decoder to generate fake images. Discuss your results after running the model. q2: (1, 2, 3) 1. Let X1, X2, .., X_be a random...

A random variable has the Pareto Distribution with parameters :30 > 0 and a > 0 if it has a continuous distribution with pdf, 0151:\" f(33|'130a0) : Slim-31 1 for m 2 330,01 > 0, and f(:c|:cg,a) = 0...

Vasudevan Inc. recently reported operating income of $5.35 million, depreciation of $1.20 million, and had a tax rate of 40%. The firm's expenditures on fixed assets and net operating working capital...

Assume that a 50-kg runner trips and falls on his extended hand. If the bones of one arm absorb all the kinetic energy (neglecting the energy of the fall), what is the minimum speed of the runner...

matlab Write a function called SwitchNames that switches the first name and surname of the entries in a string array. The input is an n x 1 string array, with each array entry consisting of a first...

If a competitors price cut threatens only a small portion of expected sales, the sales loss from ignoring the threat is probably much less than the cost of retaliation. Agree or disagree? Explain.

Let = {a, b, c, d, e, f}. Assume that m(a) = m(b) = 1/8 and m(c) = m(d) = m(e) = m(f) = 3/16. Let A, B, and C be the events A = {d, e, a}, B = {c, e, a}, C = {c, d, a}. Show that P(ABC) =...

(a) What is the probability that your bridge partner has exactly two aces, given that she has at least one ace? (b) What is the probability that your bridge partner has exactly two aces, given that...

Prove that if A and B are independent so are (a) A and B. (b) A and B.

Fernando Designs is considering a project that has the following cash flow and WACC data. What is the project's discounted payback? 1.88 years 2.09 years 2.29 years 2.52 years 2.78 years

SCENARIO3: The following table presents total retail sales in millions of dollars for the leading apparel companies over a two-year period in the past. APPAREL COMPANY Year 1 Year 2 Gap 1,159.0 962.0...

Mr. Agirich has provided the following information and ratios for the Aggie Farms 20X0 operations: Average Total Assets = $840,000 Average Total Liabilities = $395,000 Net Farm Income before taxes =...