O 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]?

Answered: O 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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Hugo averages 72 words per minute on a typing test with a standard deviation of 13 words per minute. Suppose Hugo's words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then, X∼N(72,13).Suppose Hugo types 69 words per minute in a typing test on Wednesday. The z-score when x=69 is ________. This z-score tells you that x=69 is ________ standard deviations to the ________ (right/left) of the mean, ________.Correctly fill in the blanks in the statement above.
Which of the following are specified by the central limit theorem? a. the mean of a specific sample from the distribution of sample means b. the mean of the distribution of sample means c. the shape of the distribution of sample means d. the variability for the distribution of sample means
5. Must the variable under consideration be normally distributed for you to usethe ?-interval procedure or ?-interval procedure? Explain your answer
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.20 ml/kg for the distribution of blood plasma.
The number of siblings an individual has varies from student to student. The distribution of number of siblings is strongly skewed to the right. The central limit theorem says that (a) as we look at more and more students, their mean number of siblings gets even closer to the mean u for all students (b) the mean number of siblings for any number of students has a distribution of the same shape (strongly skewed) as the distribution for individual students. (c) the mean number of siblings for any number of students has a distribution that is close to Normal. (d) the mean number of siblings for a large number of students has a distribution of the same shape (strongly skewed) as the distribution for individual students. (e) the mean number of siblings for a large number of students has a distribution that is close to Normal. There are 120 students at Francis Howell North High School. Mr. Willott conducts a poll that asks 20 randomly selected students how many hours of sleep they got last…
Suppose that the average salary of health systems professionals is normally distributed with µ=KES 40,000 and σ = KES 10,000. (20 Marks) What proportion of professionals will earn KES 24,800 or less? What proportion of professionals will earn KES 53,500 or more? What proportion of professionals will earn between KES 45,000 and KES 57,000? Calculate the 80th percentile. Calculate the 27th percentile
Let a population consist of the values 7 cigarettes, 20 cigarettes, and 21 cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. What does this indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population?
Assume y follows theX distribution. Assume c₁ and c₂ satisfy P(Y> c₁) = 0.05 and P(Y < c₂) (b). = 0.05. Then C₁ = (a) and C2 =
Which of the following indicate why you should transform a set of raw scores into a set of Z scores? Check all that apply. To make it possible to compare scores from two or more different distributions To make all the transformed scores greater than 0 To be able to describe the location of a raw score in the distribution of raw scores To make sure the Z scores are normally distributed
3. Let X Pois(4). Find the distribution of Y = √X.
Suppose x has the B(20, 0.5) distribution. Fint the P(x>10).
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