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If the random variable T is the time to failure of a commercial product and the values of its probability density and distribution function at time t are (t) and F(t), then its failure rate at time t is given by Thus, the failure rate at time t is the probability density of failure at time t given that failure does not occur prior to time t.
(a) Show that if T has an exponential distribution, the failure rate is constant.
(b) Show that if T has a Weibull distribution, the failure rate is given by αβt β-1.
1. Data for the "plasters" experiment undertaken in week 2 (7/10/14) are available on Moodle. Eliminate one of the rows of data (i.e. one plaster type for one person) at random and specify in your response which one was removed.
a retail establishment accepts either the american credit card or visa credit card. a total of 30 of its customers
Would this indicate that the actual proportion of stopped drivers given tickets is not equal to .88? Use a 1% significance level.
Does the sample provide sufficient evidence that the mean pH level in the water differs from 8.5? Conduct a test at the ? = .01 level. What are the upper and lower limits of the 95% confidence intervals?
Compute the power of the previous test if the true proportion of adults having access to the internet in the population is 41%. What is the power if the true proportion is 42%? 43%?
Once again, suppose that the standard deviation of the average or median is $5.00. Which is the probability that the average or median of the sample is greater than $22.50 but less than $25.00?
Suppose researchers have just discovered a new version of a diagnostic blood test. Data from 100 subjects were collected. Sixty of the subjects were known healthy patients and 40 had liver disease. The test results are given below.
A basketball player shoots 8 free throws during a game. If we assume that each attempt has the same probability of success, the sample space for the number of baskets he/she makes during the game is ??
A certain disease occurs in 35% of the population. A test for the disease is fairly accurate: it misclassifies people with the disease as healthy 6% of the time and reports that a healthy person is diseased just 7% of the time.
Quality Progress, February 2005, reports on improvements in customer satisfaction and loyalty made by Bank of America. A key measure of customer satisfaction is the response (on a scale from 1 to 10) to the question
as an incentive to get new customers the local branch of a bank launched bouncing for bucks. during this week long
You want to create a 90% confidence interval for the true average number of yards per game he throws. What is the margin of error for this estimate?
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