The following table shows estimates of activity times (in weeks) for a project:OptimisticMost Probable PessimisticActivityTimeTimeTimeA4562.533.57D5.57.F3G8.1012Suppose that the critical path is A-C-E-F-G. Use Appendix A to answer the questions. Do not round intermediate calculations. Round your answers tothree decimal places.a. What is the probability that the project will be completed within 33 weeks?b. What is the probability that the project will be completed within 30 weeks?C. What is the probability that the project will be completed in more than 31 weeks?d. What is the probability that the project will be completed in 32 weeks?

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Answered: The following table shows estimates of…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Dr. Castillejo feels that the maximum pulse rate (from 152 bpm to 196 bpm) during the run is a good predictor in explaining the oxygen consumption in the blood stream. He asserts that if the pulse rate at the end of the run increased, then the oxygen consumption will also increase, hence his/her heart is functioning well. Based on the R commanderoutput below, Give the expected oxygen consumption if the maximum pulse rate is 160 bpm
According to Deloitte, through January 25,2006, the majority of companies reporting profits had beaten estimates. Now suppose that for the 4th quarter of 2012, 170 of a random sample of 280 companies reported profits that had beaten estimates. Does the data indicate the proportion of companies in the 4th quarter of 2012 that beat estimates is greater than 56% at α=0.05?
Compute the forecasted values for Yt for July and August in 2020 by using the modelsstated in (c) and (d)
A family purchases a 2000 square foot home and plans to make extensions totalling 500 square feet. The house currently has a pool, and a real estate agent has reported that the house is in excellent condition. However, the house does not have a view, and this will not change as a result of the extensions. According to the results in column (1), what is the expected DOLLAR increase in the price of the home due to the planned extensions?
A researcher hypothesizes that in a certain country the net annual growth of private sector purchases of government bonds, B, is positively related to the nominal rate of interest on the bonds, NI, and negatively related to the rate of inflation Π: Bt = a0 + a1NIt + a2Π t + ut Note that it may be hypothesized that B depends on the real rate of interest on bonds, R, where R = NI – Π. Using a sample of 56 annual observations, s/he estimates the following equations: (1) Bt = 0.43 + 0.90NIt - 0.97Πt R21 = 0.962, SSR1 = 2.20, QRESET(F1,52) = 16.6 (3.58) (8.80) (-1.05) (2) Bt = 0.44 + 0.94Rt R22 = 0.960, SSR2 = 2.22, QRESET(F1,53) = 0.9 (9.70) (16.7) (3) Bt = 0.44 + 1.14NIt SSR3 = 9.20, QRESET(F1,53) = 59.9 (8.84) (36.1) (4) NIt = 0.08 + 0.94Πt R24 = 0.997, SSR4 = 0.18, QRESET(F1,53) = 1.4…
A medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. (a) Find the critical value(s) and identify the rejection region(s). z0=______ (b) Identify the rejection region(s). (c) Find the standardized test statistic z. z=______ (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.
The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 1000 cfs (cubic feet per second). b) What water-pumping capacity should the station maintain during early afternoons so that the probability that demand will be below the capacity on a randomly selected day is 0.995? c) Of the three randomly selected afternoons, what is the probability that on at least two afternoons the demand will exceed 700 cfs?
The recent economic downturn resulted in the loss of jobs and an increase in delinquentloans for housing. In projecting where the real estate market was headed in the comingyear, economists studied the relationship between the jobless rate and the percentage ofdelinquent loans. The expectation was that if the jobless rate continued to increase, therewould also be an increase in the percentage of delinquent loans. The following data showthe jobless rate and the delinquent loan percentage for 27 major real estate markets. a. Compute the correlation coefficient. Is there a positive correlation between the joblessrate and the percentage of delinquent housing loans? What is your interpretation?b. Show a scatter diagram of the relationship between the jobless rate and the percentage
Hubert has difficulty finding parking in his neighborhood and, thus, is considering the gamble of illegally parking on the sidewalk because of the opportunity cost of the time he spends searching for parking. On any given day, Hubert knows he may or may not get a ticket, but he also expects that if he were to do it every day, the average amount he would pay for parking tickets should converge to the expected value. If the expected value is positive, then in the long run, it will be optimal for him to park on the sidewalk and occasionally pay the tickets in exchange for the benefits of not searching for parking. Suppose that Hubert knows that the fine for parking this way is $100, and his opportunity cost (OC) of searching for parking is $20 per day. That is, if he parks on the sidewalk and does not get a ticket, he gets a positive payoff worth $20; if he does get a ticket, he ends up with a payoff of$___.Given that Hubert does not know the probability of getting caught, compute his…
Toward the middle of the harvesting season, peaches for canning come in three types, early, late, and extra late, depending on the expected date of ripening. During a certain week, the data to the right were recorded at a fruit delivery station. Complete parts (a) through (d) below. 40 trucks went out carrying early peaches; 71 carried late peaches; 52 carried extra late peaches; 26 carried early and late; 32 carried late and extra late; 11 carried early and extra late; 6 carried all three; 5 carried only figs (no peaches at all). a) How many trucks carried only late variety peaches? trucks (Type a whole number.) (b) How many carried only extra late? trucks (Type a whole number.) (c) How many carried only one type of peach? trucks (Type a whole number.) (d)How many trucks (in all) went out during the week? trucks (Type a whole number.)
For the given Problem, suppose that the probability of concluding that the process is out of control when it is actually in control is set at .02. Find the upper and the lower control limits for the resulting X- chart.
The Rivera Family has put up a small business, which sells cakes and pastries. It was observed that the time (in minutes) between order placements follows an exponential distribution with a rate parameter of 1/17. After receiving the first order, what is the probability that the family will have to wait: a. more than 23 minutes for the next order?b. at most 14.37 minutes for the next order?c. between 19.05 and 25.40 minutes for the next order?

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