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To cross a single lane of moving tra?c, 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 ?rst 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.
John conducted his study to measure self-esteem among victims of domestic violence before and after they complete an 8-week program for abuse victims with 10 individuals.
What is the point estimate of the mean planned expenditure by all Americans taking long summer vacations in 2002?
ESPN reported in sample of 1000 homes the proportion of people who watched the Texas v. Ohio State college football game this weekend was .6.
For each of the F statistics given above find the degrees of freedom and an approximate P-value. Summarize the results of these tests.
The data consists of random sample of 30 households from the 2007 American Community Survey. Construct a frequency distribution and a histogram for each data set.
Assuming that an IP packet has a maximum 900 byte payload, determine the following. What is the probability that a file transfer requires more than 10 packets? repeat for 100 or more?
In testing whether each of the independent variables (Xs) in a multiple regression equation is statistically significant in explaining the dependent variable (Y), one uses the:
In healthy adults, x is approximately normally distributed with mean µ = 38 and standard deviation σ = 12. What is the probability that:
Set up the null and alternative hypotheses, and perform the hypothesis test with a significance level of 0.05.
For any distribution the score that separates the highest 10% from the rest of scores is called.
A sample of 4 trucks is randomly selected. What is the probability that 2 of those tested have defective brakes.
At a national seashore, the number of swimmers per day who require lifeguard assistance averages 4.1, on any day when 7 or more swimmers are assisted, the lifeguards receive a $20 bonus for extra effort.
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