.A contractor builds three-unit apartment with construction time follows a normal distribution. Suppose that µ=100 days and o=20 days and the contract called for completion in 125 days and late completion will incur a severe penalty fee. What is the probability of not incurring a penalty fee? * 0.8943 0.8525 0.9125 O 0.9343
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- a). Your company is considering submitting a bid on a major project. You determine that the expected completion time for the project is 100 days, and that the standard deviation of the expected completion time is 8 days. (It is assumed that the normal distribution applies here.) You wish to set the project completion date in your bid such that there is an 80% chance that you will be able to complete the project by the date you have set. What due date should you set? (Note: fractional dates are allowed.) b.) What is the probability that the project described above is done within 90 days?The random variable X is the number of occurrences of an event over an interval of ten minutes. It can be assumed that the probability of an occurrence is the same in any two time periods of an equal length. It is known that the mean number of occurrences in ten minutes is 5.3. The probability that there are 8 occurrences in ten minutes is 0.0241 0.1126 0.0771 0.9107has 0.25 probability of striking out a batter what is the probability that this picture strikes out 18 or more of the next 40 batters round to four decimal places
- how to Calculate the normal time for each element.The time between failures of our video streaming service follows an exponential distribution with a mean of 40 days. Our servers have been running for 17 days, What is the probability that they will run for at least 97 days? (clarification: run for at least another 80 days given that they have been running 17 days). Report your answer to 3 decimal places.Assume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival probability at year 1 using the Kaplan-Meir approach and interpret the results. Time in Years Number at Risk, Nt Number of Deaths, Dt Number Censored, Ct Survival Probability 0 20 1 1 20 3 2 17 1 3 16 2 1 The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85. The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study. The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment. The probability of surviving 1 year after being…
- 3. The claim frequency of a policy with no deductible is distributed as B(3,0.2). The claim severity is distributed as W(0.3, 100). Determine the expected number of claim payments when the policy has a deductible of 10. What is the claim frequency distri- bution with the deductible?A book seller has the following schedule of weekly. demand for the book "Elementary Quantitative Methods" No. of copies on demand : Probability : 100 200 300 400 500 .02 .05 .09 .12 .20 .15 Find the expected number of copies demanded per week.If life length ( in hours ) of certain kind of device follows chi - squared distribution with dof 10 . Find the probability that exactly 2 of 6 such devices in a system will have to be replaced within the first 16 hours of operation. Assume that life of the devices are independent
- What is the probability of b and cAssume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival probability at year 1 using the Kaplan-Meir approach and interpret the results. Time in Years Number at Risk, Nt Number of Deaths, Dt Number Censored, Ct Survival Probability 0 20 1 1 20 3 2 17 1 3 16 2 1 A) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85. B) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study. C) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment. D) The probability of surviving 1 year…local gym has only one treadmill machine for cardio exercises. Suppose exponential interarrival times with mean of 2 per hour, and exponential usage times with mean of 30 minutes per customer. Suppose a person has just arrived at 12.00 noon to use Assume your the machine. What is the probability that the next arrival will come before 1.00 pm, between and after 2.00 pm? Note that you have to provide three 1.00 pm and 2.00 pm, answers, one for each. Suppose no customer arrives before 1.00 pm. What is the probability that the next arrival will come between 1.00 pm and 2.00 pm? What is the probability that the number of arrivals between 1.00 pm and 2.00 pm will be zero (one, more than one)?