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1. (Poisson Approximation). There are five coins on a desk, with probabilities .05, .1, .05, .01, and .04 for heads. Using a Poisson approximation, find the probability of obtaining at least one head when the five coins are each tossed once. Is the number of heads obtained binomially distributed in this problem?
2. (Poisson Approximation). Typically, about 6% of guests with a confirmed reservation at a hotel with 1100 rooms do not show up. During a convention, the hotel is already completely booked. How many additional reservations can the hotel grant and be 99% sure that the number of guests with a confirmed reservation who will be denied a room is at most two?
3. (Use Your Computer). Simulate the birthday problem to find the first person with the same birthday as yours. Perform the simulation 500 times. How many people did it take to find the first match? Was it typically about the same as the theoretical expected value?
The sample has a mean of 4.8 years and a standard deviation of 2.2 years. Use a .05 significance level to test the claim that the mean time for all college students is greater than 4.5 years.
normal distribution if the mean per capita income in the u.s. is 39000 and the standard deviation is 5000 - what
On weekdays there is an average of four customers waiting in line. What is the probability that you visit Safeway today during this period and find: No customers are waiting?
Test either there is any difference among the given variable also what does the Levene's Test shows. What variable is presented in this table.
If the desired value for m is 2.5 inches, formulate the appropriate testing hypothesis problem and carry out the test if a = 0.05.
Calculate the reverse transition matrix for the Land of Oz example (Exam- ple 11.1). Is this chain reversible? Give an example of a three-state ergodic Markov chain that is not reversible.
If an auditor takes a random sample of 36 accounts what is the probability that the mean balance will be less than 45?
in studying the occurence of genetic characteristics the following sample data were obtained. at the 0.05 significance
Explain briefly how simple data analysis methods you are to use in this project can be used in your chosen engineering discipline and for what purpose.
The rejection region for a two-tail test that uses the standard normal distribution is that area under the distribution lying
What is the probability that at most five cases of E. coli per 100,000 are reported in California this year?
Set-up/solve the problem graphically. (How many ceiling fans and how many floor fans should be made?)
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