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1. Suppose that the amount of time one spends in a bank is exponentially distributed with mean ten minutes, that is, λ = 1 . What is the probability that a customer will spend more than ?fteen minutes in the bank? What is the probability that a customer will spend more than ?fteen minutes in the bank given that she is still in the bank after ten minutes?
2. The dollar amount of damage involved in an automobile accident is an exponential random variable with mean 1000. Of this, the insurance company only pays that amount exceeding (the deductible amount of) 400. Find the expected value and the standard deviation of the amount the insurance company pays per accident.
A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true proportion of families who own at least on DVD player.
A statistical analysis of 1,000 long-distance calls made from the headquarters of the Bricks and Clicks Computer Corporation indicates that the length of these calls is normally distributed with μ = 240 seconds and σ = 40 seconds.
The Water Authority informs Margaret that for a special fee of $6,000 this year, her farm will qualify for an additional allotment of 600 acre-feet of water. How should she respond?
Calculate a 92% confidence interval for the mean density of quartz porphyry, given that 75 samples yield mean of 2.62 grams per cubic centimeter
Use a decision tree to describe the possible strategies and the consequences (or payoffs) of each. Show your decision tree.
How can the Binomial and Poisson probability distributions be utilized in solving business and marketing related questions? Identify an example of each.
find the product of the vector of state probabilities for the preceding period and the matrix of transition probabilities.
An experiment was conducted to compare the reaction times of a group of 10 volunteers (from a psychology class) to a bright light versus the sound of a loud air horn. Find a 95% confidence interval for µD = µX - µY .
the number of hybrid cars that have be requested for rental from a car rental office during a 50 day sample period is
the table below shows lifetime peptic ulcer rates per 100 population u for various family incomes x as reported by the
Identify and interpret the p-value for the test. Source: Andy Gardiner, "NCAA on Guard for ‘Rolled' Bats," USA Today, June 17, 2009, p. 8C.
some commercial airplanes recirculate approximately 50 of the cabin air in order to increase fuel efficiency. the
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