QUESTION 13 Which of the following variables is an example of a continuous random variable? Number of customers 0 0 0 Number of stocks purchased Number of products sold at a store Interval weights of an object

The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 16-year period. Assume each year is independent. Part (a) Part (b) List the values that X may take on. X=0, 1, 2,..., 15, 16 OX= 1, 2, 3, OX= 1, 2, 3, OX=1,2,3,... 15, 16 98, 99, 100 Part (c) Give the distribution of X X-B 0.02 □ Part (d) How many audits are expected in a 16-year period? (Round your answer to two decimal places.) 0.32 audits Part (e) Find the probability that a person is not audited at all. (Round your answer to four decimal places.) Part (1) Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)

Give an explanation why this statement is either true or false:   Portfolio contains n assets. Therefore, portfolio variance for this portfolio is the function of 2n covariances and n variances.

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MANUFACTURING PRODUCTIVITY You are an Operations Manager for a local steel manufacturing company, and you are in the process of selecting a vendor for a new type of metal finishing machine.  For the past week you’ve tested machines from three different companies and collected the randomly sampled data below that shows how many parts each machine produced in seven different one-hour periods over the course of your manufacturing test.  Is the average production of these machines the same, or is one of them different from the others?  [If the productivity is the same, you will simply choose the machine with the lowest cost.] You may assume that all populations are independent and nearly normal.  Test at the 95% confidence level. (i.e. α= 0.05)       Parts produced per hour for machines from three vendors: Machine A Machine B Machine C 112 116 102 104 118 107 116 112 108 98 108 92 109 113 114 111 117 105 115 107 102   What…

Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for Vanguard Total Stock Index (all stocks). Let y be a random variable representing annual return for Vanguard Balanced Index (60% stock and 40% bond). For the past several years, we have the following data. x: 15 0 24 28 15 17 36 −9 −16 −16 y: 21 −8 27 10 10 27 22 −2 −3 −1

X Question 13 Let X be a continuous random variable. Let's denote the p-th percentile of X as p%. For what value a, 160% = IQ? α = 0.60 X (Round the answer to 2 decimal places)