O 1 is the local and absolute maximum; -1 is the local and absolute minimum. O -1 is the only local maximum; 1 is the only local minimum O ois the local and absolute maximum; 3ª is the local and absolute minimum O o is the only local maximum; 37 is the only local minimum
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- Given the graph of a random function, select a pair of statements that can be generated from the picture a.) 0 is the only local maximum ; 3pi is the only local minimum b.) -1 is the only local maximum ; 1 is the only local minimum c.) 0 is the local and absolute maximum ; 3pi is the local and absolute minimum d.) 1 is the local and absolute maximum ; -1 is the local and absolute minimum2 Use Chebyshev’s inequality to show that a random graph G∈G_(n,p) almost surely does not contain a copy of K_4 if p≪ n^(-2/3).A certain basketball team makes 70% of its free throws on average. In a game where the team shoots 40 free throws. what is the approximate probabillity that the number of free throws made by the team wilbe at least 25%
- Read the scenario and decide which (if any) of the assumptions or conditions for using the Central Limit Theorem are violated. An appliance manufacturer stockpiles washers and dryers in a large warehouse. They currently have over 2500 washers and dryers in their inventory. Their goal is that no more than 2% of all appliances are damaged in storage. An inspector randomly selects 200 washers in its inventory and finds that 8 of them are damaged. Are any conditions violated? Group of answer choices Violates the Independent / Randomization condition (i.e. the sample is not random). Violates the Big Population condition (i.e. the population is not big enough) Violates the Large Sample condition (i.e. the sample is not large enough). Does not violate any condition or assumption.1. In a red zone area from covid, it is known that there are 3 people who become Covid-19 Asymptomatic Persons (AP) out of every 8 people present. An officer randomly selects 3 people to be swab tested. If X is a variable that represents the number of peoplewho became AP,a. Find the number of possible x values of the variable X, and calculate the probability of each x value.b. Determine what is the probability that the officer will get at least 1 person who becomes the AP.As a generalization of Example 5.3(figure), consider a test of n circuits such that each circuit is acceptable with probability p, independent of the outcome of any other test. Show that the joint PMF of X, the number of acceptable circuits, and Y, the number of acceptable circuits found before observing the first reject, is PX,Y(x,y) = ((n-y-1)C(x-y))*p^(x)*(1-p)^(n-x) For 0 ≤ y ≤ x < n p^(n) For x=y=n 0 otherwise Hint: For 0 ≤ y ≤ x < n, show that {X = x, Y = y} = A ∩ B ∩ C, where A: The first y tests are acceptable. B: Test y + 1 is a rejection. C: The remaining n − y − 1 tests yield x − y acceptable circuits
- Let X have a uniform on the interval (4, 9). Find the probability that the sum of 2 independent observations of X is greater than 16.This is NOT a writing assignment that is out of scope of Q&A and an easy upvote for experts that want to provide a verification of the solution gven by the link below. Question: A prisoner is told that he will be released at a time chosen uniformly at randomwithin the next 24 hours. Let T denote the time that he is released. What is thehazard function for T ? For what values of t is it smallest and largest? If he hasbeen waiting for 5 hours, is it more likely that he will be released in the next fewminutes than if he has been waiting for 1 hour? Solution: https://www.slader.com/textbook/9780534399429-mathematical-statistics-and-data-analysis-3rd-edition/410/exercises/15/ Please do not reject question if it is too complex for you and you do not know how to solve this problem.Allow another expert a chance to answer this question.1. a) What is the smallest number of drones that might be out there? i.e., what is the smallest possible N that might be out there? b) What was the probabiblity of this occuring (these specific catch totals) as a function of N? c) What number N maximizes the likelihood of these results ? d) Re-do a,b,c in the more general setting, with N as the total number of drones, n1 as the number of caught and tagged the first time, and n2 caught and tagged the second time.
- Find the highest possible value for x in the set 8.2 7.7 6 4.8 8.2 5.8 9.2 7.3 6.2 8.1 5.5 and x such that the mean of these scores is 7. show complete solutionThe Central Limit Theorem says A. When n>30n>30, the sampling distribution of x¯¯¯x¯ will be approximately a normal distribution.B. When n<30n<30, the original population will be approximately a normal distribution.C. When n>30n>30, the original population will be approximately a normal distribution.D. When n<30n<30, the sampling distribution of x¯¯¯x¯ will be approximately a normal distribution.E. None of the aboveFor a Branching process with p0=.1, p1=.8 and p2=.1. Find π0, the probability the population goes extinct. Round answer to 4 decimals.