1. Innocent until proven stained? In Japanese sinful trials, environing 95% of the defendants are root stained. In the United States, environing 60% of the defendants are root stained in sinful trials. (Source: The Book of Risks, by Larry Laudan, John Wiley and Sons) Suppose you are a intelligence attendant subjoined five sinful trials. (Coercion each response, invade a enumerate.)(a) If the trials were in Japan, what is the chance that complete the defendants would be root stained? (Round your response to three decimal places.)What is this chance if the trials were in the United States? (Round your response to three decimal places.)(b) Of the five trials, what is the expected enumerate of stained verdicts in Japan? (Round your response to couple decimal places.) verdictsWhat is the expected enumerate in the United Sates? (Round your response to couple decimal places.) verdictsWhat is the trutination deflexion in Japan? (Round your response to couple decimal places.) verdictsWhat is the trutination deflexion in the United States? (Round your response to couple decimal places.) verdicts2. On the leeward party of the island of Oahu, in a smcomplete village, environing 83% of the residents are of Hawaiian descendants. Let n = 1, 2, 3, dramatize the enumerate of commonalty you must engagement until you engagement the first person of Hawaiian descendants in the village.(a) Write quenched a coercionmula coercion the chance disposal of the unpremeditated variable n. (Invade a historical indication.)P(n) = 3. The quality-control supervisor of a origination fix procure repudiate a frame of syringes if couple or over deficient syringes are root in a unpremeditated exemplification of six syringes enslaved from the frame. Suppose the frame contains 1% defective syringes.(c) What is the chance that the frame procure be accepted? (Invade a enumerate. Round your response to three decimal places.)(d) Find (in stipulations of the enumerate of syringes). (Invade a enumerate. Round your response to three decimal places.) = syringes4. Suppose approximately 75% of complete marketing personnel are extroverts, since environing 60% of complete computer programmers are introverts. (Coercion each response, invade a enumerate. Round your responses to three decimal places.)In a bunch of 5 computer programmers, what is the chance that none are introverts?What is the chance that 3 or over are introverts?What is the chance that complete are introverts?5. What is the pay disposal of super shoppers? A supermarket super shopper is defined as a shopper coercion whom at smallest 70% of the items purchased were on sale or purchased with a coupon. In the subjoined consultation, pay units are in thousands of dollars, and each season goes up to yet does referable understand the dedicated violent appraise. The midpoints are dedicated to the right thousand dollars. Pay range 5-15 15-25 25-35 35-45 45-55 55 or over Midpoint x10 20 30 40 50 60 Percent of super shoppers 22%13%21%17%18%9% (c) Compute the expected pay of a super shopper (in thousands of dollars). (Invade a enumerate. Round your response to couple decimal places.) = thousands of dollars(d) Compute the trutination deflexion coercion the pay of super shoppers (in thousands of dollars). (Invade a enumerate. Round your response to couple decimal places.) = thousands of dollarsfile is coercion enumerate 5.
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