question below line; please write clearly. thank you Poisson Random Variable PA+B) = PLAS+ PLB)- P(AG)...
Question 3 Suppose that the random variable X has the Poisson distribution, with P (X0) 0.4. (a) Calculate the probability P (X <3) (b) Calculate the probability P (X-0| X <3) (c) Prove that Y X+1 does not have the Polsson distribution, by calculating P (Y0) Question 4 The random variable X is uniformly distributed on the interval (0, 2) and Y is exponentially distrib- uted with parameter λ (expected value 1 /2). Find the value of λ such that...
there is nothing wrong with the question.
Question 1 Let X be a random variable from Poisson(X), where x > 0. That is, P(X = i) = p. = i = 0,1,2 (a) Show that P1 = P. (b) Use part (a) to write an algorithm to generate a sample from X. (c) Based on your algorithm in part (b), write an R code to generate a sample of size 1000 from Poisson (= 2). Check that the mean and...
Please explain, thank you.
10. If X is a binomial random variable with parameters n, 2, and Y is a Poisson rand om variable with parameter λ =np, then for 0 < k < n, (A) P(X = k) P(Y k) for large n (B) P(X = k) P(Y (C) P(X k) P(Y k) for small p = k) for large n and small p
please explain step by step and write with clear
handwriting. thank you
maat is sampling dist. Of sample mean for large sample (>30) and pop not normal 25 Given a continuous random variable (X), NOT normally distributed, where the sample size (n), the mean (), and standard deviation (o) are shown on right, what is the sampling distribution of X-Bar you would use in this course. = 12 O= n = 55 I I a b Binomial t-Dist Poisson Normal...
2. i) Let B be a random variable with the Binomial (n, p) distribution, so that Write down the likelihood function L(p) for m independent observations xi,...,Inm 2 marks 6 marks ili) Compute the bias and the mean squared error of the corresponding maximum likeli- from B. Int ii) Show that the maximum likelihood estimate for pis-Σ.ri. mn [7 marks] hood estimator of p. iv) Let X be a continuous random variable with density function for x > 0, and...
Show all working clearly. Thank you.
1. In this question, X is a continuous random variable with density function (x)a otherwise where ? is an unknown parameter which is strictly positive. You wish to estimate ? using observations X1 , . …x" of an independent random sample XI…·X" from X Write down the likelihood function L(a), simplifying your answer as much as possi- ble 2 marks] i) Show that the derivative of the log likelihood function (a) is 4 marks]...
Simple Probability Question,
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Suppose that the cumulative distribution function of the discrete random variable X is given by x V < 0 1L F(x) = { 1 +71 051 x < 2 1 VI Find P{X = 1}, P{X = 2}, P{X = 3} o 1, 11,1 OZ, ÉS 0 ];j; oh, o 12 Find P (} < X < ;) оооо Consider the following two functions S c(2x – 2y) 0...
Please solve the all the questions below. Thanks.
Especially pay attention to 2nd question.
t, which type of proof is being used in each case to prove the theorem (A → C)? Last Line 겨 (p A -p) 겨 First Line a C b. C d. (some inference) C Construct a contrapositive proof of the following theorem. Indicate your assumptions and conclusion clearly 2. If you select three balls at random from a bag containing red balls and white balls,...
Please answer the 3 part question below. Thank you!
Question 1
Recorded weight losses in lbs for 21 participants of three
different diet programs were:
a) Run Hartley’s F-max test. Does evidence
suggest the variances could be different at
the α = 5% level of significance? Explain, and show any work you
can.
b) The other ANOVA conditions (normality,
independent random samples) were reasonably
satisfied, so I ran an analysis of variance, and here is the
incomplete table of output....
Appreciate if you can answer this ONE QUESTION
COMPLETELY and give me a detailed working with explanation
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Some of the question are similiar to take a look carefully before
you answer as it's very important for me.
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Question 1 A laboratory test is 95 % correct in detecting a certain disease when the disease is...