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Question 1: Benford's Law is a probability rule frequently used by accounting auditors to detect systematic fraud. It states that approximately 11.3% of numbers will begin with the number 2. An auditor decides to investigate a particular firm further if a sample proportion of their invoices, with the invoiced number beginning with a 2, is in the highest 0.5% of all possible sample proportions. What sample proportion will cause further investigation of the firm if a random sample of 671 invoices is selected? Express your answer in decimal form (ie not as a percentage), correct to two decimal places.
Question 2: GIL internet services record customer usage patterns. Historically, they have found the duration of an internet session is normally distributed with an average duration of 78.5 minutes and a standard deviation of 23.4 minutes. What is the probability that a randomly selected session would last longer than two hours or less than thirty minutes? (4 decimal places)
Question 3: The average and standard deviation of the amount of Goods and Services Tax remitted by all performance artists in a twelve month period were $5.81 thous and $2.4 thous respectively. If a sample of 123 artists was taken, find the sample average value (in thous dollars) below which only 1% of taxes would lie.
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
MATH1550H: Assignment: Question: Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form
MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
Caselet on McDonald’s vs. Burger King - Waiting time
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