1. Leo is a very active dog that requires long walks at least 3 times a day. Assume that the following isthe distribution of the number of times Leo goes for long walks.|x | 34 5p(x) | 0.1 0.6 0.3Assume that the number of times Leo goes for long walks is independent from day to day.A. Find the sampling distribution of the mean number of times Leo goes for walks of two randomlyselected days. That is, n=2. Hint: Let X,,X2 be the number of times Leo goes for walks in the first andsecond randomly selected days. You are asked to determine the sampling distribution of X =X1+X22B. What is the sampling distribution of the mean of 40 randomly selected days (n=40)?C. What the probability that the average of 40 randomly selected days is more than 4.1?

Answered: Image /qna-images/answer/9fe3d054-371c-4c0f-a650-02d4972c922b.jpg

Answered: A. Find the sampling distribution of…

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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6. Roll one fair four-sided die and one fair five-sided die. The four-sided die is red and the five-sided die is blue. Let X be the outcome on the red die. Let Y be the outcome on the blue die. Find the mean for the distribution of X + Y.
6. A lightbulb will work until failure. Being a cheap Chinese import the lightbulb has a 0.001 chance of failure each time you turn on the lightbulb. We can think of failure when you turn on the lights as a Geometric Distribution A. What is a "success" for this Geometric Distribution? B. Find the probability of "success" or p for this Geometric Distribution. C. Find the probability of "not success" or q
Last school year, the student body of a local university consisted of 20% freshmen, 21% sophomores, 29% juniors, and 30% seniors. A random sample of 300 students taken from this year's student body showed the following number of students in each class. Freshmen 84 Sophomores 65 Juniors 86 Seniors 65 We are interested in determining whether there has been a significant change in the distribution of class between the last school year and this school year.If the distribution is the same as the previous year, the expected number of freshmen is _____. a. 84 b. 87 c. 60 d. 20
There are 20 different pairs of shoes. Pick at random 10 shoes. Let X be the number of paired shoes, M be the number of shoes that are left-foot, N be the number of shoes that are right-foot. (a) Find the distribution of X. Show your problem-solving process (not just the final answer) with a few sentences of explanation and give the formula (b) Let Y = M – N. Give all possible values of Y. Find the distribution of Y. Show your problem-solving process (not just the final answer) with a few sentences of explanation and give the formula. (c) let Z = |Y|, compute E(X), Var(X), E(Z) and Var(Z). Show your problem-solving process (not just the answer), keep 2 decimal places for E(X) and E(Z), and use the approximate values for the calculations of Var(X) and Var(Z).
(a) Identify the shape of the distribution, and (b) determine the five-number summary. Assume that each number in the five-number summary is an integer. 10 - y - .. O D. The shape of the distribution cannot be determined from the boxplot. b. The five-number summary is | || ||||

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