7. Suppose that X follows a geometric distribution,P(X = k) = p(1-p)k-1and assume ani.i.d. sample of size n.a. Find the method of moments estimate of p.b. Find the mle of p.

Given that X is a geometric distribution with probability distribution function as shown…

Answered: 7. Suppose that X follows a geometric…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Problem 1P

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4. For a frequency distribution in the (a, b, 0) class, you are given i Pk 0.0768 11 Pk+1 = Pk+2 = 0.08192 iii Pk+3 0.0786432 Determine the mean of this distribution by using E(N)=
In a certain distribution the first four moments about 5 are 2, 20, 40 and 50. Calculate the measure of skewness (B,) and kurtosis (B,). State whether the distribution is leptokurtic or platykurtic.
6. A sample has a mean of M = 90 and a standard devia- tion of s 20. a. Find the -score for each of the following X values. x-95 X80 X = 98 X = 88 x-105 X=76 D ng -scores. Find the X value Tor each of the followin 1.00, 0.75 0.50 1.25 1.50 260
2. Suppose alpha particle emissions of carbon-14 are counted by a Geiger counter each second. The emissions follow a Poisson process with the mean of 16 particles per second. Let W equal the time in seconds before the seventh particle is counted. a) Give the distribution of W. b) Find P(W ≤ 0.5).
For the population whose distribution is E random sample of size n = 38 are repeatedly taken. 8 Find the following. Round to four decimals if needed. Answers of 0 and 1 are possible due to rounding. a. P(ī 8.1) c. The value of a such that P(@ > a) = 0.04 : Submit Question or
The heights of fully grown trees of a specific species are normally distributed, with a mean of 68.0 feet and a standard devialion of 6 75 fet Randem samples of size 13 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution Then sketch a graph of the sampling distribution. The mean of the sampling distribution is p; =| **.. The standard error of the sampling distribution is o- (Round to two decimal places as needed.) x, Choose the correct graph of the sampling distribution below. O A. O B. OC. 68.0 81.5 54.5 71.7 64.3 68.0 Time Remaining: 01
#8).
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the proportion in a t-distribution less than – 1.4 if the samples have sizes nị 30 and n2 :40. Enter the exact answer for the degrees of freedom and round your answer for the area to three decimal places. degrees of freedom = i proportion = i
An urn has 6 balls numbered 1 through 6. Select 3 balls (at once). Let X denote the largest value selected. (For example, if ball numbered 2,3 and 5 were selected, then X = 5.) a. Find the distribution table for X. b. Evaluate E(X) and V(X). c. Let Y2X 3. Determine E(Y) and V (Y).
Q.7
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7. Suppose that X follows a geometric distribution, P(X = k) = p(1-p)k-1 and assume ani.i.d. sample of size n. a. Find the method of moments estimate of p. b. Find the mle of p.