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In the Program Evaluation and Review Technique (PERT). we are interested in the total time t of a large number of subprojects. For illustration, let X., X2 , X 3 be three independent random times for three subprojects. If these subprojects are in series (the first one must be completed before the second starts, etc.), then we are interested in the sum Y = X , + X 2 + X 3 • If these are in parallel (can be worked on simultaneously), then we are interested in Z = max (X , , X 2 , X3). In the case each of these random variables has the uniform distribution with p.d.f. J{ x) = 1, 0 x 1, zero elsewhere, find (a) the p.d.f. of Y and (b) the p.d.f. of Z.
Given a binomial distribution with n=29 and p=0.83, would the normal distribution provide a reasonable approximation? Why or why not.
Given this information, what is the probability that the mesh polo shirt came from box 1? (Round your answer to 3 decimal places.)
Assuming that the average annual expenditure of all consumer units was $30,692 in 1994, test at the 5% signi?cance level whether the annual expenditure per consumer unit had really increased from 1994 to 1995.
Individual scores of a placement examination are normally distributed with a mean of 84.2 and a standard deviation of 12.8.If the score of an individual is randomly selected, find the probability that the score will be less than 90.0.
In studying the performance of the company's stock investments over the past year, the research manager of a mutual fund company finds that only 43% of the stocks returned more than the rate that had been expected at the beginning of the year.
Refer to the cash flows listed for the Kelly Company investment projects in the table below. The discount rate is 6 percent. Calculate the present value of these cash flows. What is the present value at:
The volume of milk in a jug of milk is 128 oz. The value 128 is from a discrete data set.
The following data lists the number of hours spent working during the previous week. From these data round the relative frequencies to three decimal places.
according to the centers for medicare amp medicaid services 16 of nursing homes received five stars in overall ratings
question please show work and provide excel formulas for plots so that i can understand how to do the assignment. the
The booked passengers actually arrive for the flight. Estimate the probability that if the company books 170 persons, not enough seats will be available.
A fair coin is continually flipped until heads appears for the tenth time. Let X denote the number of tails that occur. Compute the probability mass function of X.
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