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A traffic signal is said to "fail" if it does not provide a sufficiently long green signal for the accumulated cars to enter the intersection. It has been measured that a maximum of six vehicles can enter an intersection in the 20 sec after a light changes. If a light is set with a cycle of 20-sec red and 20-sec green (ignore the yellow phase) and the average traffic flow is 400 vehicles per hour in the direction of interest, what is the probability that the signal will fail during any particular cycle? (Assume that failure occurs if seven or more vehicles arrive during the cycle. Assume that the arrivals are Poisson.) Notice that the first of the preceding two assumptions is not strictly correct since the failure on the cycle following a failure is more likely owing to the leftover vehicles. If the preceding cycle has not failed, find the probability that the next two cycles in a row will fail? What is the conditional probability of failure of the second given that the first failed? The failure probability can be reduced by increasing cycle times, but this also increases the likelihood that cars will be unnecessarily delayed. A properly designed signal balances these two effects.
Given that a randomly selected member uses the tennis courts regularly, find the probability that they also use the golf course regularly.
In the past HR uses an average of 25 vacation days per worker in order to make available man-hour and payroll predictions. Is there evidence to show that the number of vacation days decreased over the past year? Use alpha = .05
When 319 college students are arbitarily selected and surveyed, it is observed that 120 own a car. Determine a 99% confidence interval for true proportion of all college students who own a car.
Given the above information, what is the equilibrium price and equilibrium quantity in this market? What is total farmer revenue in this market. Suppose the government implements a price floor of $900 per unit of corn in this market where the governm..
Assume that interest rate parity exists and will continue to exist in the future. The U.S. and Mexican interest rates are the same regardless of the maturity of the interest rate, and they will continue to be the same in the future. Tucson Co. and..
If 30 Samples of 100 items are tested for nonconformity, and 95 of the 3000 items are defective, find the upper and lower control limits for a p chart.
For the data given below, regress one variable on the other. Is there an implication of causality, or are both variables affected by a third?
Find a formula for P, assuming: (a) premiums are returned without interest; (b) premiums are returned with interest.
manipulation of independent variables in order to unravel causal relationships is unacceptable from a scientific point
Describe a 5-step hypothesis test for two variances for a particular claim related to your work or life environment. You need to state the claim,
suppose that you wanted to determine if your eastern region of wholesalers differed from your western region of
A sample of charge accounts at a local drug store revealed the following frequency distribution of unpaid balances. Determine the standard deviation. Compute the coefficient of variation.
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