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- 6.33 Statistics released by the National HighwayTraffic Safety Administration and the National SafetyCouncil show that on an average weekend night, 1 outof every 10 drivers on the road is drunk. If 400 driversare randomly checked next Saturday night, what is theprobability that the number of drunk drivers will be(a) less than 32?(b) more than 49?(c) at least 35 but less than 47?The state of California has a mean annual rainfall of 22 inches, whereas the state ofNew York has a mean annual rainfall of 42 inches (Current Results website, October 27,2012). Assume that the standard deviation for both states is 4 inches. A sample of 30 yearsof rainfall for California and a sample of 45 years of rainfall for New York has been taken.a. Show the probability distribution of the sample mean annual rainfall for CaliforniaThe data from 200 machined parts are summarizedas follows:y yesdepth of boreE, noabovebelowedge conditioncoarsetarget15target10moderatesmooth25205080(a) What is the probability that a part selected has a moderateedge condition and a below-target bore depth?(b) What is the probability that a part selected has a moderateedge condition or a below-target bore depth?(c) What is the probability that a part selected does not have amoderate edge condition or does not have a below-targetbore depth?(d) Construct a Venn diagram representation of the events inthis sample space.
- Please no written by hand solution Kate recently invested in real estate with the intention of selling the property one year from today. She has modeled the returns on that investment based on three economic scenarios. She believes that if the economy stays healthy, then her investment will generate a 30 percent return. However, if the economy softens, as predicted, the return will be 10 percent, while the return will be -25 percent if the economy slips into a recession. If the probabilities of the healthy, soft, and recessionary states are 0.6, 0.2, and 0.2, respectively, then what are the expected return and the standard deviation of the return on Kate❝s investment? Calculate the coefficient of variation for this investment. (Round expected return to 3 decimal places, e.g. 0.125 and round intermediate calculations and standard deviation to 5 decimal places, e.g. 0.07680.)Two factories mamufacture the Number of Defects same machine parts. Each part is classified as having either 0, 1, 2 or 3 mamufacturing defects. The joint probability for this is given in the adjoining Table. (i) A part is observed to have no defect. What is the probability that it was produced by X mamufacturer ? Manufacturer 21 3 0-1250 0-0625 0-1875 0-1250 Y 0-0625 0-0625 0-1250 0-2500 (ii) A part is known to have been produced by mamufacturer X. What is the probability that the part has no defects ? (iii) A part is known to have two or more defects. What is the probability that it was manufactured by X? (iv) A part is known to have one or more defects. What is the probability that it was manufactured by Y ?asnwer for 2.
- Suppose N = 15 and r = 4. What is the probability of x = 3 for n = 10 (to 4 decimals)? %3DA study at a college on the west coast reveals that, historically, 36% of thestudents are minority students. If a random sample of 100 students is selected, what isthe probability that between 26.4% and 40.8% students in the sample will be minoritystudents?A) 0.8150B) 0.8385C) 0.9735D) There is not enough information to obtain the answer.probability and random variable Haider Ali AL-Saidi EXomfle CH-o): let X aned Y are C.g.Vs with joint →くれく4 →にすAccording to the U.S. Bureau of the Census, about 75% of commuters in the United States drive to work alone. Suppose 150 U.S. commuters are randomly sampled. (a) What is the probability that fewer than 105 commuters drive to work alone?(b) What is the probability that between 116 and 126 (inclusive) commuters drive to work alone?(c) What is the probability that more than 96 commuters drive to work alone?The probabilities of X, Y and Z becoming managers are 4/9, 2/9 and 1/3 respectively. The probabilities that the Bonus Scheme will be introduced if X, Y and Z becomes managers are 3/10, 1/2, and 4/5 respectively. (i) What is the probability that Bonus Scheme will be introduced, and (ii) if the Bonus Scheme has been introduced, what is the probability that the manager appointed was X ?a) Grace Floral Shop sells several types of roses for all occasions. It is known that 43% of the roses that is sold by Grace Floral Shop are Eden Roses. 12 roses are ordered to put in a bouquet (i) Define the random variable for this situation and list its values (ii) Stating its parameter(s), what is the probability distribution of this variable? (iii)State the conditions that influence your choice of distribution. (iv)Calculate the probability that at most 2 of the roses were Eden Roses. b) The number of telephone calls coming into Grace Floral Shop to place orders averages 3 per minute. (i) Define the random variable in this situation and list its values. (ii) Stating its parameter(s), what is the probability distribution of this variable? (iii)Compute the probability that 5 calls will arrive per minute. (iv)Compute the probability that 3 or more calls will arrive in a 3-minute interval?SEE MORE QUESTIONS