Arrivals to a bank automated teller machine (ATM) are distributed according to a Poisson distribution with a mean equal to three per 15 minutes.Determine the probability that in a given 15-minute segment no customers will arrive at the ATM.
A) 0.0124
B) 0.0281
C) 0.0314
D) 0.0498
Q. 2The mean number of errors per page made by a member of the word processing pool for a large company is thought to be 1.5 with the number of errors distributed according to a Poisson distribution.
If three pages are examined, what is the probability that more than 3 errors will be observed?A) 0.6577
B) 0.6969
C) 0.7324
D) 0.7860
Q. 3According to CNN business partner Careerbuilder.com, the average starting salary for accounting graduates in 2008 was at least 47,413.
Suppose that the American Society for Certified Public Accountants planned to test this claim by randomly sampling 200 accountants who graduated in 2008.State the appropriate null and alternative hypotheses.A) H0 : 47,413 HA : < 47,413
B) H0 : < 47,413 HA : 47,413
C) H0 : 47,413 HA : > 47,413
D) H0 : > 47,413 HA : 47,413
Q. 4Nationwide Mutual Insurance, based in Columbus, Ohio, is one of the largest diversified insurance and financial services organizations in the world, with more than 157 billion in assets. Nationwide ranked 108th on the Fortune 100 list in 2008.
The company provides a full range of insurance and financial services. In a recent news release Nationwide reported the results of a new survey of 1,097 identity theft victims. The survey shows victims spend an average of 81 hours trying to resolve their cases. If the true average time spent was 81 hours, determine the probability that a test of hypothesis designed to test that the average was less than 85 hours would reject the research hypothesis. Use = 0.05 and a standard deviation of 50.A) 0.0123
B) 0.5182
C) 0.1241
D) 0.1587
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