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Our business is doing an audit on the shell company. Because shell has a habit of overcharging its customers, the focus of your audit is on checking whether the billing amounts on its invoices are correct. Assume that each invoice is for too high an amount with probability 0.06 and for too low an amount with probability 0.01 (so that the probability of a correct billing is 0.93). Also assume that the outcome for any invoice is probabilistically independent of the outcomes of other invoices.
Find an integer k that the probability is at least .99 that you will find k invoices that overcharge the customer. Hint: use trial and error with the BInomdist function to find k.
Assume you are the manager of a paint manufacturing factory. Your company has received complaints from customers that the containers hold less than the amount printed on them.
A new restaurant with 123 seats is being planned. Studies show that 57% of the customers demand a smoke free area. How many seats sould be in the non-smoking area in order to be very sure (mean + 3 Standard Deviation) of having enough seating ther..
The density curve shown to the right takes the value 0.5 on the interval 0 ≤ x ≤ 2 and takes the value 0 everywhere else. What percent of the observations lie between 0.5 and 1.2?
Find a research article and clearly define both the null and directional hypothesis that was or could have been tested during the statistical analysis of the data.
Which of the following is NOT true regarding the normal probability distribution.
Find out the probability
What is the difference between common cause variation and special cause variation?
Two new york designs are under consideration for possible adoption in an assembly plant. A time study is conducted with 10 workers using design 1, and 12 workers using design 2. The means and standard deviation of their assembly times in minutes a..
The average stock price for companies making up the S&P 500 is $40, and the standard deviation is $10. Assume the stock prices are normally distributed. What is the probability a company will have a stock price less than $33.
Carry out an overall test to determine if there is significant evidence of a difference among A; B and C, at the significance level 1%.
Imagine there are exactly m opportunities to cross safely by the time the nth shock occurs. What is the probability that the mth opportunity is a close call (that it occurs immediately before the nth shock).
The random variable x is known to be uniformly distributed between 1.0 and 1.5.
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