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A failure time T has a p.d.f. of f (t) = (12 - t)/72 for 0 ≤ t 12. An annuity contract provides for continuous payments at the annual rate of 1, which stop at failure, or at time 6 if earlier. The interest rate is 0. Let Y denote the present value of the benefits.
(a) Express Y as a function of T.
(b) Calculate E(Y) and Var(Y).
(c) The single premium charged for this contract is the expected value plus 20%. What is the probability that the premium will cover the benefits?
When 343 college students are randomly selected and surveyed it is found that 110 own a car. find a 99% confidence level for the true population of all college students who own a car.
the following frequency distribution presents a set of exam scores for a class of n 20 students.x f
Identify a qualitative and quantitative variable. If you need to use two data sets to have both a qualitative and quantitative variable, that is okay.
Find the least-squares regression line to predict chirps per second based on temperature. increase in temperature. Predict the chirps per second if it is 83.3 degrees.
suppose a researcher gathered survey data from 19 employees and asked the employees to rate their job satisfaction on a
Perform the following activities using a program such as MS Excel. Keep all calculations within one file. You may use separate worksheets within the same file, though.
question 1.nbspa large scale marketing survey was conducted. some of the variables collected weregender nbsp
Let X be a random variable uniformly distributed on the interval (0,1). Let Y be a new random variable defined as Y = X2. What is the probability density function of Y given by?
suppose a reputed psychic in an extrasensory perception esp experiment has called heads or tails correctly on ten
bill a psychologist has developed a new aptitude test. he was able to show that 80 of the public passed the test. a
You find that a random sample of five microwave ovens has a mean repair cost of $75 and a standard deviation of $12.50. At α = 0.01, do you have enough evidence to support the repairer's claim?
Find the probability that it has a defective bulb or defective battery, a good bulb or good battery,a good bulb and good battery.
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