Assume that a substation transformer has a constant hazard rate of 0.005 per day. What is the probability that it will fail during the next 5 years? What is the probability that it will not fail?
Assume that a substation transformer has a constant hazard rate of 0.005 per day. What is the probability that it will f...
Assume that a substation transformer has a constant hazard rate of 0.005 per day. What is the probability that it will fail during the next 5 years? What is the probability that it will not fail?
(4 %) Q3. In a process facility, emergency equipment operates 8 hr per day, 7 days per week. It is ift. estimated that on an average the equipment is turned on about 20 minutes per 8 hr sl The equipment is assumed to have a constant failure rate of o.08 per hour while it is on and of 0.005 per hour when it is turned off but being carried. a. What is the MTTF? b. What is the probability of...
At an intersection, there are two accidents per day, on average. What is the probability that after the next accident there wll be no accidents at all for the next two days?
#2) A non-repairable component has the following hazard function h)-12 tisimyear h(t)-1+2t tisinyea a) What is the probability that the component will function at least five years? b) What is the probability that it will be working between the third and sixth years? c) What is the probability that it will be working at most eight years?
#2) A non-repairable component has the following hazard function h)-12 tisimyear h(t)-1+2t tisinyea a) What is the probability that the component will function...
13. If a hospital admits new pneumonia patients at a rate of about five per day, what is the probability that during the next week: a) Exactly 35 pneumonia patients will be admitted? b) Exactly 40? c) 45 or more?
In an office building, light bulbs fail at an average rate of two per day. The company that replaces the bulbs will not do so unless at least three bulbs have been reported failed by the end of the previous day. The company came yesterday. A bulb in your office fails today. What is the probability that it will be replaced tomorrow?
Emails arrive at an average rate of 9 per hour. A. What is the probability that more than 5 emails arrive over the next hour? B. What is the probability that the next email arrives within 5 minutes?
4. A gold miner has a claim in the Yukon. Every day he goes to his claim and mines for gold. Assume that on any given day the probability that he will find gold is 0.005. Assume that his chance of finding gold on a particular day is independent of his finding gold on any other day. a. what is the expected number of days that it will take him to find gold for the first time? b. if he...
Suppose that busses arrive at a station with constant rate per minute. Conferences 1. Assume that one waits at the station for 5 minutes. (a) Find the probability that there are at least 2 busses within 5 minutes. (b) Find the expectation and variance of the number of busses within 5 minutes
Problem 14.13. Suppose that a stock price has an expected return of 16% per annum and a volatility of 30% per annum. When the stock price at the end of a certain day is $50, calculate the following: (a) The expected stock price at the end of the next day. (b) The standard deviation of the stock price at the end of the next day. (c) The 95% confidence limits for the stock price at the end of the next...