Find ox for the discrete probability distribution: 4 3 2 1/3 1/12 7/12 O A. .92 О в. 3 О с. 9
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- # D A fair 12-sided die is tossed. Find P(4 or at least 5). That is, find the probability that the result is a 4 or at least 5. You may enter your answer as a fraction, or as a decimal rounded to 3 places after the decimal point, if necessary. Submit Question DII » PrtScn Home End F3 54 $ R F V F4 % 5 T G B 6 Y H F6 & 7 F7 U P J N * 8 M F8 K 9 F9 O 0 L F10 PQ1.)Suppose we observe 84 alcoholics with cirrhosis of theliver, of whom 29 have hepatomas—that is, liver-cell carcinoma. Suppose we know, based on a large sample, that therisk of hepatoma among alcoholics without cirrhosis of theliver is 24%., use R-Studio. A-) What is the probability that we observe exactly 29alcoholics with cirrhosis of the liver who have hepatomas ifthe true rate of hepatoma among alcoholics (with or withoutcirrhosis of the liver) is .24? B-) What is the probability of observing at least 29 hepatomas among the 84 alcoholics with cirrhosis of the liverunder the assumptions in Problem 5.50? C-) What is the smallest number of hepatomas that wouldhave to be observed among the alcoholics with cirrhosis ofthe liver for the hepatoma experience in this group to differfrom the hepatoma experience among alcoholics withoutcirrhosis of the liver? (Hint: Use a 5% probability of gettinga result at least as extreme to denote differences betweenthe hepatoma experiences of the two…When crossing the Golden Gate Bridge traveling into San Francisco, all drivers must pay a toll. Suppose the amount of time (in minutes) drivers wait in line to pay the toll follows an exponential distribution with a probability density function of f(x) = 0.2e-0.2x a. What is the mean waiting time that drivers face when entering San Francisco via the Golden Gate Bridge? Mean waiting time b. What is the probability that a driver spends more than the average time to pay the toll? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) Probability < Prey 11 of 11 Next e here to search U E K L D F G B alt ctrn
- Soru 22 A random sample of 500 registered voters in Phoenix is asked if they favor the use of oxygenated fuels year – round to reduce air pollution. If more than 315 voters respond positively, we will conclude that at least 60% of the voters favor the use of these fuels. Find the probability of type I error if exactly 60% of the voters favor the use of these fuels. (Sonuç virgülden sonra 4 basamak olarak verilecektir.)6. (単洗題 3.0分) A box contains 5 green pencils and 7 yellow pencils. Two pencils are chosen at random from the box without replacement. What is the probability they are both yellow? A 7/12 B 6/11 7/22 49/144 с DSuppose 16% of students entering uni drop out before receiving their degree. If a random sample of 16 students is taken at the point they arrive at university what is the probability rounded to 4 decimal places A. That no student in the sample drops out B. That fewer than 4 drop out
- Using the concept of probability, what will be the solution and answer to each question.Q.1\ Proof that : AC and B are independent Q.2\ Roll a die, what is the probability that it is larger than or equal to 5, given that it is an even number? A: 25 , B:even number405 Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 37 passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,179 Ib. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean 6,179 lb weight of the passengers is greater than = 167 lb. What is the probability that the aircraft is overloaded? Should the pilot take any action to correct for an overloaded 37 aircraft? Assume that weights of men are normally distributed with a mean of 175.8 lb and a standard deviation of 38.2. The probability is approximately (Round to four decimal places as needed.) Should the pilot take any action to correct for an overloaded aircraft? O A. Yes. Because the probability is high, the pilot should take action by somehow reducing the weight of the aircraft. OB. No. Because the probability is high, the aircraft is…
- When crossing the Golden Gate Bridge traveling into San Francisco, all drivers must pay a toll. Suppose the amount of time (in minutes) drivers wait in line to pay the toll follows an exponential distribution with a probability density function of f(x) = 0.2e-0.2x a. What is the mean waiting time that drivers face when entering San Francisco via the Golden Gate Bridge? Mean waiting time b. What is the probability that a driver spends more than the average time to pay the toll? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) ences Probability < Prey 11 of 11 Next a e here to searchThree passengers enter randomly to 6 carriages. What is the probability that(a) Each of them enters to another carriage?(b) All will meet in the same carriage? Ans.[5/9 , 1/36]"The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 10 minutes." NARREND What is the probability that the arrival time between customers will be between 7 minutes and 10 minutes? O.1287 O.3679 O.4966 .1282 Mavericks АМ a Internet access 2021 (8)