In Problems Z1 = 1+ j2, Z2 = 4 – j3,Z3 = -2 + j3 and Z4 = -5 - j. evaluate in a + jb form given %D %3D 3. a. Z,Z3 + Z4 b. Z,Z2Z3
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- evaluate nCxpxqn-x for the values of n, x, and p given in Problem A) n= 5, x= 2, p=1/2The figure to the right gives the responses of a group of 100 randomly selected college freshmen when asked for the highest academic degree that they intended to obtain. Four times as many students intended to obtain master's degrees as their highest degree than intended to obtain bachelor's degrees as their highest degree. The number of students intending to obtain bachelor's or master's degrees as their highest degree was 30 more than the number who intended to obtain other degrees as their highest degree. Let x, y, and z represent the number of students that intend to obtain a master's degree, bachelor's degree, or other (respectively). Use the Gauss–Jordan method for calculating inverses to determine the values of x, y, and z.Want solution of part a or c
- A friend who lives in Los Angeles makes frequent consultingtrips to Washington, D.C.; 50% of the time shetravels on airline #1, 30% of the time on airline #2, and the remaining 20% of the time on airline #3. For airline#1, flights are late into D.C. 30% of the time and late intoL.A. 10% of the time. For airline #2, these percentagesare 25% and 20%, whereas for airline #3 the percentagesare 40% and 25%. If we learn that on a particular trip shearrived late at exactly one of the two destinations, whatare the posterior probabilities of having flown on airlines#1, #2, and #3? Assume that the chance of a late arrival inL.A. is unaffected by what happens on the flight to D.C.[Hint: From the tip of each first-generation branch on atree diagram, draw three second-generation brancheslabeled, respectively, 0 late, 1 late, and 2 late.]How do I find P(c), P(w), and P(c and w) for this problem?A company that operated 10 hours a daymanufactures two products on threesequential processes. The following tablesummarizes the data for the problem:
- A producer of pocket calculators purchases the main processor chips in lots of1,000. The producer would like to have a 1 percent rate of defectives but willnormally not refuse a lot unless it has 4 percent or more defectives. Samples of50 are drawn from each lot, and the lot is rejected if more than two defectives arefound.a. What are p0, p1, n, and c for this problem?A contestant on a quiz show is presented with two questions, questions 1 and 2, which he is to attempt to answer in some order he chooses. If he decides to try question i first, then he will be allowed to go on to question j, j not = to i, only if his answer to question i is correct. If his initial answer is incorrect, he is not allowed to answer the other question. if he is 60% certain of answering question 1, worth$200, correctly and he is 80% certain of answering question 2, worth $100, correctly. Which question he should try first as to maximize his expected winnings?40 - How many of the following are uncertainties? A) 4B) 1C) 3D) 0E) 2
- At the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that z − u = 3(x − y) + 22 x + y = 50 + z + u and x − y + z − u = 58. How large was the audience of each of the four companies at the end of that year? Microsoft Time Warner Yahoo GoogleAt the end of a certain year, the four companies with the largest number of home Internet users in the United States were Microsoft, Time Warner, Yahoo, and Google, with a combined audience of 284 million users. Taking x to be the Microsoft audience in millions, y the Time Warner audience in millions, z the Yahoo audience in millions, and u the Google audience in millions, it was observed that z − u = 3(x − y) + 10 x + y = 50 + z + u and x − y + z − u = 46. How large was the audience of each of the four companies at the end of that year?Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…
