1. The average time to failure of a circuit board is 20,000 hours. what is the probability that it will fail within 19,800 hours?
2. The mean width of a steal beams produced by WTQ company has been 24.00 mm. with a standard deviation of .20 mm. If a sample of 400 steel beams is taken, what is the probability that the sample mean would be less than 23.90 mm?
1. The average time to failure of a circuit board is 20,000 hours. what is the...
The mean time to failure for a circulation pump is 1000 hours and the time to failure has an exponential distribution. If the pump has already been operating 600 hours, what is the probability that it will fail within the next 1400 hours? State your answer rounded to three decimal places.
The thickness of a printed circuit board is required to lie between the specification limits 0.150 ± 0.004 cm. A machine produces circuit boards with a thickness that is normally distributed with mean 0.151 cm and standard deviation 0.003 cm. a) What is the probability that the thickness X of a circuit board produced by this machine will fall within the specification limits? b) Now consider the mean thickness X- (X1 +X2 + ..+X25)/25 for a batch of 25 circuit...
According to Nielsen Media Research, the average number of hours of TV viewing by adults (18 and over) per week in the United States is 36.07 hours. Suppose the standard deviation is 9.6 hours and a random sample of 54 adults is taken. a. What is the probability that the sample average is more than 37 hours? b. What is the probability that the sample average is less than 38.5 hours? c. What is the probability that the sample average...
According to Nielsen Media Research, the average number of hours of TV viewing by adults (18 and over) per week in the United States is 36.07 hours. Suppose the standard deviation is 8.6 hours and a random sample of 42 adults is taken. Appendix A Statistical Tables a. What is the probability that the sample average is more than 35 hours? b. What is the probability that the sample average is less than 36.7 hours? c. What is the probability...
According to Nielsen Media Research, the average number of hours of TV viewing per household per week in the United States is 50.4 hours. Suppose the standard deviation is 11.8 hours and a random sample of 42 U.S. households is taken. A. What is the probability that the sample average is more than 52 hours? B. What is the probability that the sample average is less than 47.5 hours? C. What is the probability that the sample average is less than 40 hours?...
According to Nielsen Media Research, the average number of hours of TV viewing by adults (18 and over) per week in the United States is 36.07 hours. Suppose the standard deviation is 9.7 hours and a random sample of 43 adults is taken. Appendix A Statistical Tables a. What is the probability that the sample average is more than 37 hours? b. What is the probability that the sample average is less than 36.5 hours? c. What is the probability...
IV. Continuous Distribution: Normal Normal 1. The average time to complete a final exam in a given course is normally distributed. With average of 80 min, and standard deviation of 8 minutes. For a certain student taken at random: to. What is the probability of finishing the exam in an hour or less? b. What is the probability of finishing the exam between 60 min and 70 min? Exponential 2. The time to fail in hours of a laser beam...
Question 1 (15 marks) According to Nielsen Media Research, the average number of hours of TV viewing per household per week in the United States is 50.4 hours. (a) Suppose the population standard deviation is 11.8 hours and a random sample of 42 U.S. household is taken, what is the probability that the sample mean TV viewing time is between 47.5 and 52 hours? (b) Suppose the population mean and sample size is still 50.4 hours and 42, respectively, but...
c) Assume one of the cluster nodes fails every 100 hours. Other parts of the cluster never fail. Steps 1 through 3 take two hours. On average, the mean time for step 4 is two hours. What is the availability of the cluster? What is the yearly failure cost if each one-hour downtime costs £2000? [10 marks] d) Following Part (b), assume that the cluster now has much increased availability support. Upon a node failure, its workload automatically fails over...
1) Rate data often follow a lognormal distribution. Average power usage (dB per hour) for a particular company is studied and is known to have a lognormal distribution with parameters μ = 4 and σ = 2. What is the probability that the company uses more than 270 dB during any particular hour? 2) A certain type of device has an advertised failure rate of 0.01 per hour. The failure rate is constant and the exponential distribution applies. (a) What...