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1. When things are operating properly, E-Bank United, an Internet bank, can process a maximum of 25 electronic transfers every minute during the busiest periods of the day. If it receives more transfer requests than this, then the bank's computer system will become so overburdened that it will slow to the point that no electronic transfers can be handled. If during the busiest periods of the day requests for electronic transfers arrive at the rate of 170 per 10-minute period on average, what is the probability that the system will be overwhelmed by requests? Assume that the process can be described using a Poisson distribution.
2. A stock portfolio contains 20 stocks. Of these stocks, 10 are considered "large-cap" stocks, 5 are "mid-cap," and 5 are "small cap." The portfolio manager has been asked by his client to develop a report that highlights 7 randomly selected stocks. When she presents her report to the client, all 7 of the stocks are large-cap stocks. The client is very suspicious that the manager has not randomly selected the stocks. She believes that the chances of all 7 of the stocks being large cap must be very low. Compute the probability of all 7 being large cap and comment on the concerns of the client.
an insurance company receives an average of 100 claims per month and each claim results in a payment independently of
What level of confidence did the statistician use in constructing this interval? Explain carefully, showing all steps in your reasoning. Hint: sample proportion is the midpoint of the stated confidence interval.
Define the decision rule. Calculate the value of the test statistic.
Solve different inventory control problems using an appropriate OR method.
records pertaining to the hourly brown trout catch have been obtained in order to include this parameter into a
In a poll of 500 randomly selected voters, 260 of them support the strategist's candidate. At = .05, is the political strategist's claim warranted?
an article in the journal of the environmental engineering division distribution of toxic substances in rivers 1982
Assuming that these numbers are exact and that the sample was randomly chosen from the entire population of interest, give a 90% con?dence interval for the proportion of ?lled MBA positions in Europe.
Confidence interval for the average weight of a nickel. How many nickels does he need to weigh to obtain an average accurate to within 10 milligrams?
MANOVA is the method of analysis that A) Uses several independent variables to predict the category to which a participant belongs B) Describes the relationship between a predictor and an outcome variable C) Describes the effect of an independent var..
a survey found that womens heights are normally distributed with mean 63.5 in. and standard deviation of 2.5 in. a
If 12 of them produce yr owers what is the probability that in the remaining 8 plants 4 produce yw owers, and 3 produce gr owers?
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