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.

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I've been working for weeks on this and have not been able to solve, please help me.
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 ...

Solution Summary

Fault tree problems are analyzed to calculate the probabilities.

I need solutions to the question a) only, please.
For the system shown below where each labeled box indicates a valve that is normally open:
(a) Draw a faulttree for the top event "no flow out of the system."
(b) Find the minimal cutsets
(c) Find the exact top event probability using the basic event probabilities given

Suppose characters a, b, c, d, e, f, g, h, i, j, k have probabilities 0.01, 0.03, 0.03, 0.05, 0.05, 0.07, 0.09, 0.12, 0.13, 0.20, 0.22, respectively. Construct an optimal Huffman code and draw the Huffman tree.
Use the following rules:
a. Left: 0, right: 1
b. For identical probabilities, group them from the left to right.

The Dept. of Labor has reported that 30% of the 2.1 million mathematical and computer scientists in the United States are women. If 3 individuals are randomly selected from this occupational group, and x = the number of females, determine P(x = 0), P(x = 1), P(x - 2), and P(x = 3).

A person starts out from a tree in the middle of a street, taking steps of equal length either to the left or to the right with equal probability. What is the probability that the person will again be at the same tree after taking N steps?
a) If N is even?
b) If N is odd?

A study showed that 60% of The Wall Street Journal subcribers watch CNBC every day. Of these, 70% watch it outside the home. Only 20% of those who don't watch CNBC every day watch it outside the home. Let D be the event "watches CNBC daily" and O be the event "watches CNBC outside the home."
(a) Sketch a tree based on this dat

Assume the probability of a tire blowout is 0.102% per 50,000 miles of use and that a person travels 13,000 miles per year in a car. Assume that the probability of loss of control is 30% if the blowout occurs on the front tires and 15% for the rear tires. If control is lost, the probability is 50% of veering to the right and 50%

The Oxenol Company uses natural gas in its production processing operations. Neighboring companies in its upstate New York area have successfully drilled for gas on their premises, and Oxenol is considering following suit. If their initial expenditure would be for drilling: this would cost $40,000. If they struck gas, they would