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Customers arrive at a certain business at a rate of 6 per hour. Assuming a Poisson model for their arrival, answer the following questions.
a) What is the probability that no customers come between 10:00 and 10:20?
b) What is the probability that exactly two customers come between 10:00 and 10:20?
c) What is the probability that more than 6 customers come between 10:00 and 11:00? Less than 6? Exactly 6?
d) Sam is working a 4-hour shift. What is the probability that between 20 and 30 (inclusive) customers come on his shift? e) Why might a Poisson model not be a very good model for some businesses?
Assuming that the data may be viewed as a random sample from a normal population, construct a 95% con?dence interval for the actual average diameter of bearings made by this process and interpret.
ocean fishing for billfish is very popular in the cozumel region of mexico. in the cozumel region about 45 of strikes
Calculate the probability that a randomly selected egg weights between 62.5 g and 68.75 g. Think of cartons of such eggs as SRSs of size 12 from the population of all eggs.
During the Cold War, why was the U.S. worried about the placement of Soviet missiles in Cuba? What response did the U.S. military (Joint Chiefs of Staff) advocate? What would likely have been the result if Kennedy had followed that advice?
In one town, 24% of all voters are Democrats. If two voters are randomly selected for a survey, find the probability that they are both Democrats. Round to the nearest thousandth if necessary.
A researcher conducts a randomized block experiment with interaction and provides the following ANOVA table.
The 30 members of an orchestra were asked how many instruments each could play. The results are set out in the frequency distribution. Calculate the mean number of instruments played:
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. What is the lower limit of the 90% confidence interval? What is the upper limit of the 90% confidence interval?
Construct a 95% confidence interval estimate of the difference in proportion of workers who would like to attend a self-improvement course in the recent study and the past study. Show how you obtain your answer.
The Last Picture Show. Here s another table showing information about 120 movies released in 2005. This table gives percentages of the table total.
question consider the random variable x.prove that vx ex2 - e2 x v x is the variance of
We would like to test if the proportion of respondents that support the health care bill is less than 50% (a) what kind of hypothesis test is appropriate?
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