Showing 241 to 250 of 287 Questions

The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x) =ex/100/1000 for x > 0 Determine the probability that(a) A component lasts more than 3000 hours before failure.(b) A component fails in the interval from 1000 to 2000 hours.(c) A component fails before 1000 hours.(d) Determin
2372 
The probability distribution of A, the number of imperfections per 10 meters of a synthetic fabric in continuous rolls of uniform width, is given by Construct the cumulative distribution function ofX.
0302 
The proportion of people who respond to a certain mailorder solicitation is a continuous random variable X that has the density function(a) Show that P(0 < X < 1) = 1.(b) Find the probability that more than 1/4 but fewer than 1/2 of the people contacted will respond to this type ofsolicitation.
0310 
The proportion of the budgets for a certain type of industrial company that is allotted to environmental and pollution control is coming under scrutiny. A data collection project determines that the distribution of these proportions is given by(a) Verify that the above is a valid density.(b) What is the probability that a company chosen a
0237 
The random variables X and Y, representing the weights of creams and toffees in 1kilogram boxes of chocolates containing a mixture of creams, toffees, and cordials, have the joint density function(a) Find the probability density function of the random variable Z = X + Y.(b) Using the density function of Z, find the probability that in a
0162 
The reaction time of a driver to visual stimulus is normally distributed with a mean of 0.4 seconds and a standard deviation of 0.05 seconds.(a) What is the probability that a reaction requires more than 0.5 seconds?(b) What is the probability that a reaction requires between 0.4 and 0.5 seconds?(c) What is the reaction time that is excee
0507 
The shelf life of a product is a random variable that is related to consumer acceptance. It turns out that the shelf life Y in days of a certain type of bakery product has a density function what fraction of the loaves of this product, stocked today would you expect to be sellable 3 days from now?
0258 
The shelf life, in days, for bottles of a certain prescribed medicine is a random variable having the density function Find the probability that a bottle of this medicine will have a shell life of(a) At least 200 days;(b) Anywhere from 80 to 120days.
0380 
The sickleave time of employees in a firm in a month is normally distributed with a mean of 100 hours and a standard deviation of 20 hours.(a) What is the probability that the sickleave time for next month will be between 50 and 80 hours?(b) How much time should be budgeted for sick leave if the budgeted amount should be exceeded with a
1125 
The speed of a file transfer from a server on campus to a personal computer at a studentâ€™s home on a weekday evening is normally distributed with a mean of 60 kilobits per second and a standard deviation of 4 kilobits per second.(a) What is the probability that the file will transfer at a speed of 70 kilobits per second or more?(b) What
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