Suppose that a 95% VaR model is back-tested using 500 days of trading data. If 15 exceptions were observed, should the model be rejected at the 95% level of confidence?

A bank randomly selected 245 checking account customers and found that 115 of them also had savings accounts at this same bank. Construct a 95% confidence interval for the true proportion of checking account customers who also have savings accounts. (Round your answers to three decimal places.) lower limit upper limit

For each of the scenarios below, select: A : variable is binomial (approximately) B : variable is Poisson (approximately) C : variable is neither If you select C, explain why you rejected both binomial and Poisson models? (a) The number of errored bits in a packet of 1024 bits. (b) Time between packets arriving at a router. (c) Student has reaction time to 100 stimuli tested. Count as ”success” = reacting within 0.1 second. Count the number of successes.

In 2009, Sports Illustrated published an article citing the bankruptcy rate of former NFL players at 78%! A new study by the National Bureau of Economic Research has blown Sports Illustrated’s claims out of the water. The study actually found that 15.7 percent — or one in six — of NFL players file for bankruptcy within 12 years of retirement.  If a sample of 25 retired players were taken, what is the 97% confidence interval for the proportion that would file for bankruptcy (based on the new results, of course)?