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City buses arrive at a certain street corner, between 5 a.m. and 11 p.m., according to a Poisson process with rate λ = 4 per hour. Let T1 be the waiting time, in minutes, until the first bus (after 5 a.m.), and let M be the total number of buses between 5 a.m. and 5:15 a.m.
(a) Calculate the probability is included in the interval [0,15].
(b) What is the variance of the waiting time between two consecutive arrivals?
(c) If a person arrives at this street corner every morning at 9:05 a.m., what is the variance of the time during which she must wait for the bus? Justify.
an investigator is interested in the posibility of merging the capabilities of television and the internet. a random
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What analyses you performed - your description of the results should be sufficiently clear that the reader could reproduce your results
The 5 number summary of the fastest ever driven speed (mph) of penn state students is 55, 95, 110, 120 and 150. The speed that separates the bottom 25% from the top 75% is...55, 120, 110, 95?
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A high school counselor is interested in the percentage of students who will be going to college. She randomly picks 60 students and finds that 53 will be going to college. Use a 95% confidence level to find the population proportion.
The distinction between sampling with replacement and sampling without replacement. Many surveys use the census as a sampling frame. Any bias in this frame?
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