THIS AND THE FOLLOWING QUESTION REFER TO THE INFORMATION BELOW. At the famous Tsukiji fish market in Tokyo, the bluefin tuna (ton baligi) auctions are followed with great interest. Prices for a single tuna sometimes exceed $1 million. Tuna weights vary, with the largest tunas reaching above 300 kg and about 20% of tunas having weights above 250 kg. Twelve tuna are auctioned in today's auction. What is the chance that more than 8 of them would have a weight below 252kg.? The chance is (Round to three decimal places.) USE THE INFORMATION PROVIDED ABOVE. In the blank space below, define the random variable in the problem and specify its distribution, together with the distribution's parameters. A B 1 :: 3 3 3 A bank branch has an objective to optimize the amount of cash they feed into the branch ATM each day. Putting too much cash into the ATM is a security risk. Putting too little and running out of it creates customer dissatisfaction. The branch's operations analyst is analyzing the pattern of withdrawals from the ATM. The analyst assumes that the ATM daily withdrawal amount takes values uniformly between TL 150,000 and TL 300,000 a. What is the probability that the daily withdrawal amount is within TL 50,000 from the average amount? The probability is (Round to two decimal places.) b. The analysts wants to determine the minimum daily amount of cash to feed into the ATM. Assuming the ATM does not accept cash deposits, what minimum cash amount should the ATM start with each day, so that it runs out of cash at most 5% of the time? The minimum cash amount to start the day with is TL b. The analysts wants to determine the minimum daily amount of cash to feed into the ATM. Assuming the ATM does not accept cash deposits, what minimum cash amount should the ATM start with each day, so that it runs out of cash at most 5% of the time? The minimum cash amount to start the day with is TL (Round to an integer value.) C. The amount you found in part b. represents the th percentile of the random variable's distribution. (Provide a value between 0 and 100.) d. Consider the minimum cash amount you found in part b. For a given week, consisting of 7 days, what is the probability that the ATM will run out of cash on 2 or more days? Assume that cash withdrawal amounts on different days are independent. The probability is (Round to two decimal