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A town council includes 10 Democrats and 15 Republicans.
In response to a developer's request for a variance that would allow her to build a convenience store in an area of town currently zoned as residential, the mayor is going to randomly select 5 council members for a committee to examine the issue. What is the probability that there will be at least 3 Republicans on the committee?
Construct the 95 percent confidence interval for the difference between the two population means.
Determine the probability and cost of a card in the following sports card case purchase and the odds as follows. A 200 card base set features players from the Socceroos, Matildas and A-League teams.
explain when you would use the hypergeometric probability distribution rather than the binomial probability
(a) Calculate the appropriate standard error required. (b) Calculate the respective z-score you would use to determine the probability that the sample mean grade will be less than 75.
We consider a waiting system with a single server and finite capacity c = 3, in which the customers arrive according to a Poisson process with rate λ and the service times are independent exponential random variables with parameter μ = 2λ.
Alice and Bob agree to meet at the bus stop between 12 noon and 1pm. They each arrive at a random time in that interval and wait for 5 minutes before leaving, unless they see the other person. What is the probability that they meet each other?
Compute the probability that the receiver makes an incorrect decision? What happens if the sender only adds two parity bits a4 and a5?
What can one conclude about the librarian's hypothesis at a level of significance of .05?
Distinguish between unpooled variance and pooled variance. What are the assumptions of each? How do you determine which is appropriate?
Calculate the mean and standard deviation talking time for the old battery. (Use the statistics functions on your calculator to find these values). The following table shows the talking time descriptive statistics, for the newly developed battery.
Professors at a local university earn an average salary of $80000 with a standard deviation of $6000. The salary distribution is approximately bell-shaped. What can be said about the percentage of salaries that are at least $74,000
In the last quarter of 2007 a group of 64 mutual funds had a mean return of 0.9% with a standard deviation of 5.2%. Consider the normal model N(0.009.052) for the returns of these mutual funds.
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