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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.
Crete a 90% confidence interval for mean Secchi dish measurement.
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Create a histogram for the following data of the number of miles from residence to place of employment for 30 randomly selected residents of Middletown County.
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A standard IQ test has mean of 98 and a standard deviation of 16. We want to be 99% certain that we are 8 IQ points of the true mean. Determine the sample size.
Scatter plot, Correlation coefficient and Regression equation - Do a complete regression analysis by performing the steps below
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
An SRS of 100 of a certain popular model car in 1993 found that 20 had a certain minor defect in the brakes. An SRS of 400 of this model car in 1994 found that 50 had the minor defect in the brakes. Let p1 and p2 be the proportion of all cars of t..
What is the 25th percentile of a chi squared distribution with 20 degrees of freedom? What symbol is used to denote this value?
I have computed an analysis of variance for three groups with 10 observations per group. Evaluate the degrees of freedom for the F test
Critically discuss the difference between the standard deviation of the sampling distribution of the mean and the standard deviation of the sampling distribution of the median when we calculate the probability?
The assembly time for a product is uniformly distributed between 6 to 10 minutes.
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