&ll by adding 5 to each of the numbers in the set 36117 5 t we obtain the set 8, 11 , 6 , 12, 10 Show that the two sets have the Same standard deviation but different means How are the mean related ?
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- Help me with 11. PleaseSuppose that the distribution of Uber rides around the quoted arrival time is normally distributed. Themean waiting time (relative to the quoted time) is 0, with a standard deviation of 3 minutes.a. Using the empirical rule, what percentage of rides arrive within 3 minutes of the mean (3 minutesbefore to 3 minutes after)?b. Graphically depict the area that would need to be calculated to determine the probability ofwaiting more than 4 minutes for a ride. Explain your graph.An insurance company would like to offer theft insurance for renters. The policy wouldpay the full replacement value of any items that were stolen from the apartment. Someapartments have security alarms installed. Such systems detect a break-in and ring an alarmwithin the apartment. The insurance company estimates that the probability of a theft in ayear is .05 if there is no security system and .01 if there is a security system (there cannot bemore than one theft in any year). An apartment with a security system costs the renter anadditional £50 per year. Assume that the loss from a theft is £10,000 and that the insurancecompany is risk neutral and the renter would be willing to pay more than the expected loss toinsure against the loss of theft. What is the insurance company's break even price for a one year theft insurance policy for anapartment without a security system?
- 22 The annual salary of the staff members in a state government agency are shown here. The first column shows the annual salary (S) and the second column the frequency (the number of employees earning that salary) labeled F. The mean salary of agency's staff is: S F $120,000 1 91,000 2 86,000 4 65,000 10 57,500 24 44,000 10 mAlocal toy manufacturer is using a production line that runs 8 hours per day and produces a toy that requires a total of 7 tasks to be performed. The daily demand is 100 toysTimes of the tasks are 273, 2.01, 2.13, 2.0, 2.61, 2.71 and 2.95 minutes for A, B C, D, E , and Grespectively. However, due to the nature of the product there are precedence rules that must be observed. Such that Task A does not need any predecessors: task B requires task A to be completed. To start task Deach require task B to be completedTask must be completed prior to stating task E. Task F needs both task D and task E to be completed. Finally, task G can start only once task Fiscompleted.Given we apply the most remaining tasks rule for balancing the assembly line, with broken according to longest task time firstWhat will the estimated idle time in minutes for THIRD workstation?Please help me with 29 with explanation