Describe the probability distribution
Let T be the outcome of a roll with a fair die.
a. Describe the probability distribution of T ; that is, list the outcomes and the corresponding probabilities.
b. Determine E[T] and Var(T).
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A company that manufactures video cameras produces basic model, intermediate model, and deluxe model. Over the past year, 40% of the cameras sold have been the basic model, 35% have been intermediate model,
The length of life of oil-drilling bits depends upon the types of rock and soil that the drill encounters, but it is estimated that the mean length of life is 75 hours.
Michael figures that the total number of thousands of miles that a employed car can be driven before it would need to be junked is an exponential random variable with parameter 1/20.
Repeat the previous problem under the assumption that the lifetime mileage of the car is not exponentially distributed but rather is (in thousands of miles) uniformly distributed over (0,40).
Let T be the outcome of a roll with a fair die. Describe the probability distribution of T ; that is, list the outcomes and the corresponding probabilities.
Suggest the case when another five records of patients' visits to a PCP's office are selected at random. Find the probability that at least one of them is referred to a specialist.
A potential customer for an $85,000 fire insurance policy possesses a home in an area that, according to experience, may sustain a total loss in a given year with probability of .001 and a 50% loss with probability .01.
A firm has monitored the duration of long-distance telephone calls placed by its employees to help it decide which long-distance package to purchase. The duration of calls was found to be exponentially distribution, with a mean call length of 5 mi
In a specific state, a major flood happens once every 5 years on average. If you can assume foods are independent, and that two floods cannot happen simultaneously, find the following:
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