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Customers arrive at the Veryfast Bank as a Poisson process of rate λ customers per minute. Each arriving customer is immediately served by a teller. After being served, each customer immediately leaves the bank. The time a customer spends with a teller is called the service time. If the service time of a customer is exactly two minutes, what is the PMF of the number of customers N(t) in service at the bank at time t?
I scheduled three calls for a particular day, and each call has a probability of 0.5 of making a sale. What are his probabilities of making (a) three sales, (b) two or more sales, (c) no sales?
Can you give any advice to a committee working on a problem that might help it to arrive at a decision? How should the discussions be structured? Can sensitivity analysis help in such a situation; if so, how?
A machine that fills quart orange juice bottles is set to fill them with 32.1 oz. If the actual contents of the cartons vary normally, with a standard deviation of .1 oz, what percent of the cartons contain less than a quart (32 oz).
Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following:
The Wall Street Journal reported that long term Treasury bonds had a mean return of 24.03% in 2008. Assume that the returns for the long term Treasury bonds were distributed as a normal random variable, with a mean of 24.03 and a standard deviatio..
Out of the total nuts manufactured by a company 0.5 percent became defective. The nuts are supplied in packets of 40. Find out the probability number of packets containing.
What is the probability that a person chosen at random is left-handed?
a turbine blade has demonstrated a weibull failure pattern with a decreasing failure rate characterized by a shape
Give a probability distribution for the following: In 1992, the Big 10 collegiate sports conference moved to have women compose at least 40% of its athletes within 5 years.
in designing an experiment involving a treatment applied to 5 test subjects researchers plan to use a simple random
A school only accepts students with the top 20% of sat scores. The sat has a mean of 500 and a standard deviation of 100. what actual score should be used as the cut-off score?
Provide a 95% confidence interval for the difference between the two population means. Compare the means of population 1 and population 2. Are they equal? Show your test procedure.
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