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A telephone company establishes a direct connection between two cities expecting Poisson traffic with rate 30 calls/min. The durations of calls are independent and exponentially distributed with mean 3 min. Inter-arrival times are independent of call durations. How many circuits should the company provide to ensure that an attempted call is blocked (because all circuits are busy) with probability less than 0.01? It is assumed that blocked calls are lost (i.e., a blocked call is not attempted again.)
Find an integer k that the probability is at least .99 that you will find k invoices that overcharge the customer. Use trial and error with the BInomdist function to find k.
When studying simultaneous responses to two categorical questions, we should set up a a) contingency table. b) frequency distribution.
The sensitivity of a test is the probability that a person having the disease will test positive (indicating the person has the disease, i.e., it's the probability the test will pick up the fact that a person has the disease).
If 36 sand dollars are selected at random for collection, determine the probability that average diameter of those sand dollars is more than 3.80 centimeters. Suppose that variable is normally distributed.
Simple random sample of 100 elements is taken: (a) What is the chance of an element being included in the sample? (b) What is this chance called (hint: not probability)?
Find a 95% confidence interval for the mean of all drinks dispensed by this machine if a random sample of 36 drinks has an average content of 2.25 deciliters.
A sample of 23 European countries found that the variance of life expectancy was 7.3 years. What is the 95% confidence interval for the variance of life expectancy in Europe.
Using a 1% level of significance, can the hypothesis that the distributions for the student's scores are identical be accepted?
54% of men consider themselves professional baseball fans. You randomly select 10 men and ask if he considers himself a fan. Find the probability that the number who consider themselves professional fans is
My question bout How do I use the TINV function within excel to back out the t-statistic for the test? Why did you use the TDIST function? I know ho to use the TINV function, but what does it mean to back out the t-statistic for the test?
The life expectancy of computer terminals is normally distributed with a mean of 4 years and a standard deviation of 10 months. What is the probability that a randomly selected terminal will last more than 5 years?
A random variable X that has pmf given by p(x) = 1/ (n+1) over the range Rx = {0,1,2,...,n} is said to have a discrete uniform distribution. Find the mean and variance of this distribution.
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