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- 38. Prove or disprove that .Please make sure the hypothesis is set up like this: Ho: Mew = value H1: mew < or > value for h1 I'm stuck on whether it is less than or greater than.A fair six sided die is rolled 30 independent times. Let X be the number of ones and Y be the number of twos. a. What is the joint pmf of X and Y? b. Find the conditional pmf of X, given Y=y c. Compute
- A box has 3white(W) balls,2 black (B) balls and 4 red(R) balls. Two balls were drawn successively from this box (i) with replacement/ (ii) without replacement. Let X=the number of white balls drawn and let Y=the number of black balls drawn.Figures obtained from a city's police department seem to indicate that of all motor vehicles reported as stolen, 63% were stolen by professionals (P), whereas 37% were stolen by amateurs (primarily for joy rides) (A). Of the vehicles presumed stolen by professionals, 25% were recovered within 48 hours (R<48), 23% were recovered after 48 hours (R>48), and 52% were never recovered (N). Of the vehicles presumed stolen by amateurs, 33% were recovered within 48 hours, 63% were recovered after 48 hours, and 4% were never recovered. (b) What is the probability that a vehicle stolen by a professional in this city will be recovered within 48 hours?(c) What is the probability that a vehicle stolen in this city will never be recovered? (Round your answer to four decimal places.)(D) decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. (Reject, fail to reject) the null hypothesis. There (is, is not) enough evidence to (support,reject) the center’s claim.
- Below is the last question that got left out (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. Fail to reject / reject the null hypothesis. There is / is not enough evidence to support / reject the centeres claim.An advert=isement cla=m that th=eir laptop co=mp=uter batteries are set at 72 operating hours, with proper charging procedures. A study of 5000 ba=tteries of th=ese laptop com=puters is carried out and 20 of them stop ope=ratin=g before 72 hours. Do these exp=erimen=tal results r=eject the c=laim that no more than 0.3 perce=t of the com=pany’s batt=eries will fail du=ring the adv=ertised time= period, with pr=oper char=ging proc=edure=s? hypo testing alpha 0.05 please write it onpaper(Please answer 2nd question ) 1. Assume that there are two types of driver: One is careful and has a 0.1% of being in an accident. The other type is careless and has a 1% chance of being in an accident. Assume that each type represents 50% of the population. If there is a law mandating that all drivers buy insurance that would cover $100,000 in damages, the actuarially far premium for all drivers would be ________ while if there were no such law, the fair premium would be __________. Group of answer choices A) $100, $1,000 B) $100, somewhere between $100 and $1,000 C) $550, somewhere between $550 and $1,000 D) $550, 1,000 Ans :- option c ). 2. The term(s) used to describe the problem(s) that make the actuarially fair premiums different in the two cases in the question above is(are) Group of answer choices A) Asymmetric information B) Moral hazard C) Adverse selection D) A, B, and C E) A and C
- In 1995, O.J. Simpson (commonly known as “The Juice”) was charged with the murders of Nichole BrownSimpson and Ron Goldman in what has been referred to as the trial of the century. It is commonly known that O.J. Simpson was acquitted on both charges of murder in this case, on the famous “the gloves don’t fit” defense. To this day, people still debate whether or not O.J. Simpson did or did not commit these crimes. Suppose that O.J. Simpson did, in fact, commit the murders. In the context of hypothesis testing, what kind of error was committed by the jury? Write a brief explanation of which kind of error and why.AT&T was running commercials in 1990 aimed at luring back customers whohad switched to one of the other long-distance phone service providers. One suchcommercial shows a businessman trying to reach Phoenix and mistakenly gettingFiji, where a half-naked native on a beach responds incomprehensibly in Polynesian.When asked about this advertisement, AT&T admitted that the portrayed incidentdid not actually take place but added that this was an enactment of something that“could happen.”12 Suppose that one in 200 long-distance telephone calls is misdirected. What is the probability that at least one in five attempted telephone calls reachesthe wrong number? (Assume independence of attempts.)Refer to the information in the previous problem. Given that your longdistance telephone call is misdirected, there is a 2% chance that you will reach a foreign country (such as Fiji). Suppose that I am now going to dial a single long-distancenumber. What is the probability that I will erroneously…In a study of pain relievers, 20 people were given product A, and all but 5 experienced relief. In the same study, 50 people were given product B, and all but 16 experienced relief. Fill in the blanks below to make the most reasonable statement possible. Product A or B performed worse in the study. That is because ____ % failed to get relief with the product, wheares only ____ % failed to get relief with product A or B
