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A contractor plans to use four tractors to work on a project in a remote area. The probability of a tractor functioning for a year without a breakdown is known to be 80%.
If X denotes the number of tractors operating at the end of a year, determine the probability mass and distribution functions of X.
An environmentalist estimate that the mean waste recycle by adults in the country is more than 1 pound per person per day. You want to test this claim, you find that the mean waste recycled per person per day for a random sample of adults in the c..
Due to large losses incurred in the past several years, a firm has $2 billion in tax-loss carryforwards. This means that the next $2 billion of the firm's income will be free from corporate income taxes.
Compute the marginal frequencies. (List the totals for the age groups and localities). What percent of the urban dwellers are over 50? What percent of the Over-50 residents live in rural areas?
Let Y, Y2 denote the order statistics of a random sample of size 2 from a distribution which is N(µ, u2), where u2 is known.(a) Show that Pr ( Y1 µ Y2 ) = !and compute the expected value of the random length Y2 - Y, .
you are the manager of a restaurant that delivers pizza to collect dormitory rooms. you have just changed your
Sample surveys conducted in a large county in a certain year and again 20 years later showed that originally the average height of 400 ten-year-old boys was 53.8 inches with a standard deviation of 2.4 inches, whereas 20 years later the average he..
Delivery time over twenty delivery days was 8.6 hours. At the 0.05 level of significance, test whether the software package has reduced the average time it takes to complete deliveries.
Parents collected a simple random sample of the times that 81 college students required to earn their bachelor's degrees. The sample has a mean of 4.8 years and a standard deviation of 2.2 years. Use a 0.05 significance level to test the claim tha..
how would you define a variable? what is the difference between a dependent and independent variable? do you think both
Distribution with the mean of 10,000 hours. Component has already been in operation for its mean life. Determine the probability that it will fail by 15,000 hours?
Using the data of Exercise 1 and assuming simple random sampling, (a) give the ratio-to-size estimate of the population total and (b) estimate the variance of that estimator.
A salesperson either makes a sale (S) or does not make a sale (N) with each of two potential customers.The simple events and their probabilities are given below.
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