A discrete RV X takes the values – 1, 0, 1 with probabilities 1 3 1 8'4'8 respec- tively. Evaluate P{IX – ul > 2ơ} and compare it with the upper bound given by Tchebycheff's inequality.
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- A surface has infinite parallel lines at distance d from adjacent lines. We have a needle of length I which we throw randomly on the surface. What is the probability that the needle intersects a line? Assume l < d.Suppose that a decision maker's risk atitude toward monetary gains or losses x given by the utility function(x) = (50,000+x) 34/2. Suppose that a decision maker has the choice of buying a lottery ticket for $5, or not. Suppose that the lottery winning is $1,000,000, and the chance of winning is one in a thousand. Then..... O The decision maker should not buy the ticket, as the utility from not buying is 223.6, and the expected utility from buying is 223.59. The decision maker should not buy the ticket, as the utility from not buying is 223.6067, and the expected utility from buyingis 223.6065. O The decision maker should buy the ticket, as the utility from not buying 223.60, and the utility from buying is 224.4. The decision maker should buy the ticket, as the utility from not buying 223.6065, and the utility from buying is 223.6067.Q. 35 Estimate the parameter λ of the exponential distribution, f(x;^)=λe for 0≤x≤∞o, by the method of moments.
- Please answer i,i,ii, and show steps if possible. Do not randomly write wrong answers if don't know how to solve.If p|| g, m/1= 56+23, and m/11=2b+10, find m/2, m/4, m/10, and m/12 1/2 3/4 9/10 q11/12 56 78 m/2 = m24 = m/10 = m/12 = Pause https://ola3.performancematters.com/ola/olajsp?dientCodesfiduval P Type here to search EL FO %23 & 3 6 Q E R Y Tab CapsLk D F K Shift V B M Ctrl Fn AltSahad prides himself in making a burger in under 4 minutes. The time, Y, in minutes to make the burger can be shown to have the following PDF 금 (y + 2) 0A research center claims that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 34% say that they would travel into space on a commercial flight if they could afford it. At a = 0.10, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H, and H Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. At least % of adults in the country would travel into space on a commercial flight if they could afford it. O B. % of adults in the country would travel into space on a commercial flight if they could afford it. %. O C. The percentage adults in the country who would travel into space on a commercial flight if they could afford it is not O D. No more than % of adults in the country would…State the CLT for independent identically distributed real RVs with mean u and variance a². Suppose that X. X,. . . are independent identically distributed random variables each uniformly distributed over the interval [0, 1]. Calculate the mean and variance of In X. Suppose that 0Two real numbers, x and y, are randomly selected, both from the interval [0, 10]. What is the probability that, at the same time, their sum is less than 7 and the absolute value of their difference is greater than 2?5.4. Suppose that X assumes the values m-a, m, m+a with probabilities p.1- 2p,p, and show that there is equality in (5.32). Thus Chebyshev's inequalit cannot be improved without special assumptions on X.Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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