20. An aircraft engine fails with probability p. Assume that for an aircraft to success-fully.complete a flight, at least half the engines must operate. Show that for 0 <p< 3, a four-engine plane is preferred to a two-engine plane and for

The aircraft engine fails with probability p. Hence the probability that an aircraft engine will not…

Answered: 20. An aircraft engine fails with…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A research center claims that 25% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 700 adults in that country, 27% say that they would travel into space on a commercial flight if they could afford it. At a = 0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. INU TIIUIE uIOan 0 UI auuiS I uIE UUUU y vwuuIu uavci IU apauc Un a uUITIIGI LIaI Iyntrncy couIu anuIu I. O D. At least % of adults in the country would travel into space on a commercial flight if they could afford it. Let p be the population proportion of successes, where a success is an adult in the country who would travel into space on a commercial flight if they could afford it. State H, and Ha. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Ho: p O B. Ha: ps OC. Ho: p> Hai p= Hai p> Ha: ps O D. Ho: pe O E. Hg:…
What is the optimal time for a scuba diver to be on the bottom of the ocean? That depends on the depth of the dive. The U.S. Navy has done a lot of research on this topic. The Navy defines the "optimal time" to be the time at each depth for the best balance between length of work period and decompression time after surfacing. Let x = depth of dive in meters, and let y optimal time in hours. A random sample of divers gave the following data. 15.1 23.3 32.2 38.3 51.3 20.5 22.7 2.48 2.38 1.48 1.03 0.75 2.38 2.20 (a) Find Ex, Ey, Ex², Ey², Exy, and r. (Roundr to three decimal places.) Ex = 203.4 Ey = 12.7 Ex2 = 0.001 Ey? = 0.002 Exy = 931.638 r= -0.9655 (b) Use a 1% level of significance to test the claim that p < 0. (Round your answers to two decimal places.) t = -8.29 critical t = -3.36 Conclusion O Reject the null hypothesis. There is insufficient evidence that p < 0. Reject the null hypothesis. There is sufficient evidence that p < 0. Fail to reject the null hypothesis. There is…
For each random variable defined here, describe the set of possible values for the variable, and state whether the variable is discrete. (d) X = the length of a randomly selected rattlesnake Describe the set of possible values for the variable. 0, 1, 2, 3, ... 1, 2, 3, ... [0, ∞) (0, ∞) State whether the variable is discrete. discrete not discrete (e) Z = the sales tax percentage for a randomly selected amazon.com purchase, where n = the total number of possible sales tax percentages for online purchases Describe the set of possible values for the variable. z1, z2, z3, ..., zn [0, zn] 1, 2, 3, ..., n [0, n] State whether the variable is discrete. discrete not discrete (f) Y = the pH of a randomly chosen soil sample Describe the set of possible values for the variable. 0, 1, 2, 3, ..., 14 [0, 14] 1, 2, 3, ..., 14 (0, 14] State whether the variable is discrete. discrete not discrete (g) X = the tension (psi) at which a randomly selected…
Suppose Xt denotes the unknown whose value is the success count for ?ttrials of a Bernoulli Process with success rate p and Wn the unknown whose value is the number of trials to have the nth success. Then, the probability that the number of trials to get the 7th success is at most 10 is which of the following? (A) P(X10≥7)P(X10≥7) (B) P(X7<10)P(X7<10) (C) P(X10<7)P(X10<7) (D) P(W7≥10)
Figures obtained from a city's police department seem to indicate that of all motor vehicles reported as stolen, 63% were stolen by professionals (P), whereas 37% were stolen by amateurs (primarily for joy rides) (A). Of the vehicles presumed stolen by professionals, 25% were recovered within 48 hours (R<48), 23% were recovered after 48 hours (R>48), and 52% were never recovered (N). Of the vehicles presumed stolen by amateurs, 33% were recovered within 48 hours, 63% were recovered after 48 hours, and 4% were never recovered. (b) What is the probability that a vehicle stolen by a professional in this city will be recovered within 48 hours?(c) What is the probability that a vehicle stolen in this city will never be recovered? (Round your answer to four decimal places.)
A survey of a random sample of voters predicts that Candidate A will receive 43% of the votes, Candidate B will receive 40% of the votes, and Candidate C will receive 17% of the votes. The margin of error is ±4%. Who can you predict will win the election? Candidate A Candidate B The winner cannot be predicted because the intervals overlap. Candidate C
A campaign manager for a political candidate released a series of advertisements criticizing the opposing candidate in an upcoming election. The opposing candidate previously had the support of 45%45%45, percent of voters, so the manager wants to test �0:�=0.45H0:p=0.45H, start subscript, 0, end subscript, colon, p, equals, 0, point, 45 versus �a:�<0.45Ha:p<0.45H, start subscript, start text, a, end text, end subscript, colon, p, is less than, 0, point, 45, where �pp is the proportion of voters that support the opposing candidate. After running the advertisements, the campaign manager obtained a random sample of 500500500 voters and found that 220220220 of those sampled supported the opposing candidate. The resulting test statistic was �≈−0.45z≈−0.45z, approximately equals, minus, 0, point, 45 and the P-value was approximately 0.330.330, point, 33. Assuming the conditions for inference were met, what is an appropriate conclusion at the �=0.05α=0.05alpha, equals, 0, point,…

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20. An aircraft engine fails with probability p. Assume that for an aircraft to success- fully.complete a flight, at least half the engines must operate. Show that for 0 < p< 3, a four-engine plane is preferred to a two-engine plane and for