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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 many samples of size 1000 persons are chosen, determine the expected value (mean X-bar) or average of average IQ's for these samples?
Find the lowest possible score a candidate can score and still qualify. Assume the scores are normally distributed.
What is the probability that a roulette ball will come to rest on an even number other than 0 and 00?
A sample of 81 business managers on the West Coast had an average breakfast cost of $7.65. 13. At a = 0.05, what is the test value?
At 5% level of significance, is there evidence of difference in mean life of bulbs made by the 2 kinds of machines. What is your conclusion?
Determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.
You are estimating the cost ($K) of optical sensors based on the power output of the sensor. Using the preliminary calculations from a data set of 8 sensors, determine the equation of the line. (Round your intermediate calculations to 3 decimal pl..
A sample of 100 observations has a mean of 2.99 and a standard deviation s equal to 0.5 Conduct the following test of hypotheses about the corresponding population mean at a level of significance of α = 0.2
Store used ANOVA to test if mean sales for each credit card were equal. What are the degrees of freedom for F statistic?
Computing relative frequencies in a contingency table and a survey of a sample of 347 people is conducted. The survey's respondents are classified according to their political affiliation and their opinion on a bill.
Let x = number of the ball obtained on any selection. Then the probability distribution for x is given by:
Determine expectation of number of vehicles passing through this specified point in ten minutes.
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