are iid random variables having mean u and variance o?. Form the randomSuppose f1, 2, .sum SN..E1 +..+ EN.(a) Derive the mean and variance of SN when N has a Poisson distribution with parameterd.(b) Determine the mean and variance of SN where N has a geometric distributions with mean(c) Compare the behaviors in (a) and (b) as A→ o.

Answered: Suppose §1, $2, ... are iid random…

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 a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 16 17 15 20 14 13 14 16 16 11 (a) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x=s= (b) Does this information indicate that the population average HC for this patient is higher than 14? Use ? = 0.01. (i) What is the level of significance? State the null and alternate hypotheses. H0: ? = 14; H1: ? < 14H0: ? > 14; H1: ? = 14 H0: ? < 14; H1: ? = 14H0: ? = 14; H1: ? > 14H0: ? = 14; H1: ? ≠ 14 (ii) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The…
3. Table 1 below shows the probability distribution of hurricanes that have made landfall in the Caribbean. The random variable, X, is the category of the hurricane. Category 1 is the weakest hurricane level while category 5 is the strongest. Table 1 x 1 2 3 4 5 P(X=x) 0.41 0.34 0.13 0.07 * a) Find the value of ‘*’. [1] b) Find the expected category of hurricane to make landfall, E(X). [2] c) What is the probability that a Category 4 or stronger hurricane will make landfall?[1] d) Calculate the variance. [3]

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