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Assume the probability of a tire blowout is 0.178% per 50,000 miles of use and that a person travels 15,000 miles per year in a car. Assume that the probability of loss of control is 60% if the blowout occurs on the front tires and 20% for the rear tires. If control is lost, the probability is 50% of veering to the right and 50% of veering to the left. If it goes left, the car spends 1 sec crossing the one lane of oncoming traffic (2000 vehicles/hour). Either way it goes, it ends up on the roadside, with a 20% chance of hitting a barrier or tree, if not hit by oncoming traffic. Assume there is a 20% chance of death if the car hits a barrier or tree and a 50% chance of death if hit by oncoming traffic. Calculate the probability of being killed per year in this type of accident
Hint: This is a fault tree problem. Practice with a simpler example from the readings/notes. When working the real problem, sum up all the ways of having a fatal accident and their probabilities.
Assume that the mean parameter θ for the RV L is unknown. To estimate it, a random sample of n = 10 light bulbs is selected, and the lifetime of each light bulb is measured. Let X denote the number of those 10 sampled light bulbs that burn longer ..
At 0.05 level of significance, is there evidence of noteworthy difference in variation in sales among different aisle locations?
From an inventory of 48 cars being shipped to local automobile makers, 12 have defective radios installed. What is the probability that one particular dealership receiving 8 cars will find 2 radios being defective? Make assumptions if necessary.
A company is interested in estimating the mean number of days of sick leave taken by its employees. The firm's statistician randomly selects 100 personnel files and notes the number of sick days taken by each employee.
Suppose that the mean of the annual return for common stocks from 2000 to 2012 was 8.5%, and the standard deviation of the annual return was 25.2%.
Describe a research problem that would benefit from Factor Analysis. What are the variables and what would you hope to achieve?
In a standard normal dist. what is the prob. of getting a value less than 1.63? How about between 1.13 and 1.86? How about greater than .58?
Compute the mean and standard deviation of the scores and use these for the calculations below. Show your calculations on the back of his page.
Find the probability that follows Binomial distribution.
Let X be the number of kings selected and Y the number of jacks selected. Find the joint probability distribution function.
A recent election return indicated that 55% voted for a proposal, 40% voted against it, and 5% abstained. What is the probability that a voter either abstained or voted against the proposal?
You've been recently hired as a marketing analyst in an advertising agency. You are assigned the task of assessing the impact of direct marketing promotions.
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