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(a) Jobs are sent to a printer at an average of 4 jobs per hour.
(i) What is the expected time between jobs?(ii) What is the probability that a job is sent within 5 minutes?(iii) How long does it take at most, to have the arrival of the first job with a probability of 0.9? Give your answer in minutes.(iv) Suppose that the first job was sent at 9.30 a.m.* What is the probability that the printer gets the second job before 9.45 a.m.?* What is the probability that the second job arrives after 9.45 a.m.? How do you relate this to a Poisson distribution?
(b) An enhancement is performed in a type of plant in order to improve the yield of the plant. With such enhancement, the germination rate is claimed to be 90%. To evaluate, 60 seeds are planted in a greenhouse and the number of seeds that germinate X is recorded.
(i) Explain why X is a binomial random variable.(ii) What is the probability that at least 55 seeds will germinate?(iii) Find the mean and standard deviation of X(iv) Repeat (ii) using normal approximation method. Determine the suitability of the normal approximation
A machine has three components working independently. The probability that Component A fails is 0.1, the probability that component B fails is 0.2, and the probability that component C fails is 0.3.
Based on p=.60, probability that a randomly selected homeowners will say no to newspaper subscription.
A local bakery determines that the probability of a customer ordering a blueberry muffin is 50%. 5 customers come into the bakery.
A contract was given for the cost of making a new aircraft component. The actual cost, X, in $50,000, is predicted by the probability density function
In a survey of 8000 woman, 5431 say they change their nail polish once a week. Construct a 99% confidence interval for the population proportion of woman who change their nail polish once a week. A 99% confidence interval for the population is??
Discussion 1: Many people do not "like" or "trust" single point estimates for things they need measured. How might adding confidence intervals help managers accept the results better? Why?
Calculate and interpret standard error of estimate se and coefficient of determination R2 for these data.
To determine the efficiency of the current ticket operation, Mike wishes to examine several queue operating characteristics.
Write up a brief description of the problem with the conclusion drawn from the hypothesis test. Note that the problem is not in the calculations--assume the calculations are correct--but in the interpretation of the test.
Draw the normal curve model for auto fuel economy, following the 68-95-99.7 rule. Clearly label the X-axis with the mpg for the appropriate points.
a set of final examination grades in a calculus course was found to be normally distributed with a mean of 70 and a
the measurements of weight of 100 units of a product manufactured by two parallel processes have same mean but the
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