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To cross a single lane of moving traffic, we require at least a duration d. Successive car interarrival times are independently and identically distributed with probability density function fT (t). If an interval between successive cars is longer than d, we say that the interval represents a single opportunity to cross the lane. Assume that car lengths are small relative to intercar spacing and that our experiment begins the instant after the zeroth car goes by. Determine, in as simple form as possible, expressions for the probability that:
(a) We can cross for the first time just before the nth car goes by.
(b) We shall have had exactly m opportunities by the instant the nth car goes by.
(c) The occurrence of the mth opportunity is immediately followed by the arrival of the nth car.
If a student is randomly selected what is the possibility that the student is male and from out of state.
A normal population has a mean of 60 and a standard deviation of 3. You select a sample of 36. Compute the probability the sample mean is (Round z values to 2 decimal places and final answers to 4 decimal places):
Find the sample size for the 95% confidence interval used to estimate the population proportion.
Given CAPM as the benchmark, is either of the two managers over-performing the market? What if you use the Sharpe Ratio as benchmark? Explain the answer carefully.
Mean threshold values and standard deviations for the three groups are given below. Normal probability plots showed the three populations were well approximated by the Normal distribution.
The sample mean of the accounts is found to be y-bar = $94.22, and the sample variance is equal to $455.21. Estimate mu and place a bound on the error of estimation.
Give critical test statistic and compute sample test statistic. Test null hypothesis at alpha level .01.
would you favor or oppose providing a path to citizenship for illegal immigrants in the U.S if they met certain requirement including a waiting period, paying fines and back taxes, passing criminal background checks and learning English? What is the ..
Henry performed a two-tailed test for an experiment in which N = 24. He could not find his table of t critical values, but he remembered the tcv at df = 13. He decided to complete his obt.with this tcv. Is he more likely to make a type I or II err..
USA Today reported that 11% of all books sold are of the romance genre. If a local bookstore sells 316 books on a given day, what is the probability that
At the .05 significance level, can we conclude that the mean waiting time is less than 3 minutes?
State the values of the coefficient of correlation and coefficient of determination correct to three decimal places
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