Suppose that you enter a fantasy basketball league. Suppose that the 2022team budget, say X, is randomly drawn from a uniform distribution onthe interval [90, 210], where the unit is U.S. million dollars. In addition,suppose that after the value X = x has been observed (90 < x < 210), the2023 team budget, say Y, is randomly drawn from a uniform distributionon the interval [x, 210]. In other words, the 2023 budget is at least as largeas the 2022 budget.(a) For any given value of x (90 < x < 210), obtain E[Y|X = x].(b) In view of part (i), obtain E[Y|X].(c) What is the difference between E[Y|X = x] and E[Y|X]?(d) Obtain E[Y]. That is, what is the expected value of your 2023 fantasybasketball budget?(e) Golden State Warriors won the 2022 NBA finals. Their estimated2022 payroll is about $194 million. Would your 2023 fantasy basketballbudget be on average larger than Golden State Warriors' 2022 payroll?Explain briefly.

The pdf of a uniform distribution on [a, b], when a and b are the minimum and maximum values,…

Answered: Suppose that you enter a fantasy…

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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The distribution of the variable X, representing the average time to failure for an automobile battery,can be written as: X∼Exp(m). Describe this distribution in words.
Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with μ = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population. 14,19,16,14,19,19,14,21,17,17,14,17 Give the p-value and interpret the results. a) p = 0.0012; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level. b) p = 0.0012; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. c) p = 0.0023; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level. d) p = .1053; Based on 5% significance level, I will fail to reject the null hypothesis and…
Suppose the time (minutes) an Instructor spends grading a Math 10 quiz is uniformly distributed in the interval (8, 25). How long it takes the instructor to grade 65% of the quizzes?
Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, suppose the mean of the x distribution is about 4.78. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9 4.2 4.5 4.1 4.4 4.3 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x = s = (ii) Do the given data indicate that the population mean RBC count for this patient is lower than 4.78? Use ? = 0.05. (a) What is the level of significance?State the null and alternate hypotheses. H0: ? < 4.78; H1: ? = 4.78H0: ? = 4.78; H1: ? ≠ 4.78 H0: ? = 4.78; H1: ? < 4.78H0: ? = 4.78; H1: ? > 4.78H0: ? > 4.78; H1: ? = 4.78 (b) What sampling…
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Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with μ = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population. 22,17,20,17,17,14,16,21,15,21,15,22 Give the p-value and interpret the results. a) p = .1053; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. b) p = .0562; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. c) p = 0.0003; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. d) p = 0.0003; Based on 5% significance level, I will reject the…
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