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1. The time, in hours, that a copying machine may work without breaking down is a normally distributed random variable with mean 549 and standard devia- tion 68. Find the probability that the machine will work for at least 500 hours without breaking down.
2. The yield, in tons of ore per day, at a given coal mine is approximately nor- mally distributed with mean 785 tons and standard deviation 60. Find the probability that at least 800 tons of ore will be mined on a given day. Find the proportion of working days in which anywhere from 750 to 850 tons is mined. Find the probability that on a given day, the yield will be below 665 tons.
3. Scores on a management aptitude examination are believed to be normally dis- tributed with mean 650 (out of a total of 800 possible points) and standard deviation 50. What is the probability that a randomly chosen manager will achieve a score above 700? What is the probability that the score will be below 750?
a may 2007 gallup poll found that only 11 of a random sample of 1003 adults approved of attempts to clone a human.find
an order for an automobile can select the base model or add any number of 11 options. the random variable is the number
Find the implied volatility of the following European call. The call has four months until expiry and an exercise price of $100. The call is worth $6.51 and the underlying trades at $101.50. Assume the risk free interest rate is 8% per annum.
How could your answer in question (a) change if you knew returns followed a skewed distribution instead of a normal distribution? Explain briefly.
we assume that the conditional distribution of xn n is binomial n theta and that n is poisson lambda. show that x has
question trains arrive at a station at the rate of 25 per hour.a what is the probability that the time between trains
Also find information about blood donations and the percentage of each type donated. How do the charts compare? Why is the collection of type O blood so important?
A regional commuter airline selected a random sample of 25 flights and found that the correlation between the number of passengers and the total weight, in pounds, of luggage stored in the luggage compartment is 0.94.
Compare and contrast internal and external validity
the test scores of a class consisting of 30 students are given in the table below. perform thenbspchi-square and the
a fitted model with more predictors will necessarily have a lower training set error than a model with fewer
let x be binomial with parameters n15 and p.2a find the expression for density for xb find the expression for the
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