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The purpose of an automobile timing belt is to provide a connection between the camshaft and the crankshaft. This allows the valves to open and close in sync with the pistons. Suppose the duration of a timing belt (in miles) can be modeled by an exponential random variable with parameter ?? = 0.00002.
What are the expected value and variance of the duration of a timing belt?
What is the probability that a randomly selected timing belt lasts for more than 60,000 miles?
If the timing belt on a new car breaks within 20,000 miles, the dealer will install a new belt free of charge. What is the probability that the dealer will be forced to install a new timing belt free of charge on a randomly selected car?
What is the 80th percentile of the duration of timing belts?
Test the manager's claim at 5% and 1% significance level tests.
franks machine shop operates 250 days per year. frank sells 5000 units per year of his most popular item a specialty
Suppose the weight of a product is normally distributed with a mean of 1.5 and a variance of 0.2. What percentage of products will have weights within +/- 3 standard deviations? Critically discuss the lower and upper limits bounding 50% of product we..
A arbitrary sample of 8 students is selected. Illucidate the probability that among the students in the sample at least 7 are female.
What is the probability that a roulette ball will come to rest on an even number other than 0 and 00?
You are given the sample mean and the sample standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Which interval is wider? If convenient, use technology to construct the confidence int..
a simple system consists of four components placed in parallel. each component has the same reliabity r. if we want the
The incubation time for Rhode Island Red chicks is normally distributed with a mean of 21 days and standard deviation of approximately 1 day.
Results of study are summarized below. Use a 5% level of significance and test claim that opinion is independent of brand.
A group of students collected data at the Cedar Point amusement park and reported that the "wait time" to ride the "Top Thrill Dragster" roller coaster is consistently distributed within a range of 40 minutes to 90 minutes.
Find the probability that exactly 8 out of the 10 consumers recognize the brand name. Also find the probability that the number who recognize the brand name is not 8.
An applicant needs a minimum combined score of 1400 to gain admission and what percentage of applicants have combined GRE scores between 1200
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