If X is a continuous random variable having pdf as shown. Find 1. The constant k. 2. P(X>0). 3. X, X2,0%. k p(x) 4 k/2 X -3 -1 0 1 2
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- Table 6 shows the year and the number ofpeople unemployed in a particular city for several years. Determine whether the trend appears linear. If so, and assuming the trend continues, in what year will the number of unemployed reach 5 people?1 is decreasing. 76. Show that an = %3D 2n +1yegATAT COucebr CuocK 2. BOWLING. A bowling handicap is a percentage of the difference between your average and a basis average. Your bowling handicap allows you to compete against other bowlers with varying levels of skill and ability with an equal chance of winning. If you belong to a bowling league in which each bowler's handicap h is determined by his or her average a using this formula: INDOKEBIA 2018 h = 0.9 (200 - a). If the bowler's average is over 200, the handicap is 0. all to riqsig ort be a. Find the inverse of the function. https://www.bworldonline.com/philippines-ends-asian-para-games- bid-at-a-much-improved-11th-place-from-24th/ b. Find your average if your handicap is 27. Solve here: eeri nislo noionut eeevni ha 1ol noilsupe ne pribni ni ed 18
- P(z<2.25)=(T3) 10. Which statistic below is the best example of incidence of a disease? - [ ] In 2005, 2 million people died from HIV - [ ] A total of 65 million people have gotten HIV - [ ] In 2005,4 million people acquired HIV - [ ] A total of 40 million people have died from HIV infection - [ ] 25 million people currently suffer from HIV infectionConsider the following model of a market for hats in which Qs is quantity of hats produced, Qd is quantity of hats purchased and P is the price of a hat. Qs=5+12P Qd=50-3P if production conditions change so that Qs=-10+12P, what will be the change in Q*? compared to the value 41, such that Q*=Qs=Qd remains true? a. 4 b. -3 c. -4 d. 3
- José makes a score of 70 on an exam (e.g., his "little x" = 70). Suppose that the percentile associated with a score of 70 happens to be the 70th percentile. This means 70% of the class scored above him 70% of the class scored below him 70% of the class made a score of 70 his Z-score = +1A light fixture contains five lightbulbs. The lifetime of each bulb is exponentially distributed with mean 199.0 hours. Whenever a bulb burns out, it is replaced. Let T be the time of the first bulb replacement. Let X1, i = 1, . . . , 5, be the lifetimes of the five bulbs. Assume the lifetimes of the bulbs are independent. 1. Find P( X1 > 100). (Round the final answer to four decimal places.) 2. Find P( X1 > 100 and X2 > 100 and • • • and X5 > 100). (Round the final answer to four decimal places.) 3. Find P(T ≤ 100). (Round the final answer to four decimal places.) 4. Let t be any positive number. Find P(T ≤ t), which is the cumulative distribution function of T. 5. Find the mean of T. (Round the final answer to two decimal places.)1 The menu at a café is shown below. Main coursе Dessert Fish and Chips $3 Ice Cream $1 Apple Pie Sponge Pudding Spaghetti $3.50 $1.50 Pizza $4 $2 Steak and Chips $5.50 The owner of the café says that all the main-course dishes sell equally well, as do all the desserts, and that customers' choice of dessert is not influenced by the main course they have just eaten.
- 1/x +3/2 = -4/7 + 6/(2 x) %3DK Fit a regression line to the data shown in the chart, and find the coefficient of correlation for the line. Use the regression line to predict life expectancy in the year 2000, where x is the number of decades after 1900. year, x 0 (1900) life expectancy, y 49.1 years 51.4 years 2 (1920) 4 (1940) 53.0 years 6 (1960) 54.2 years 55.2 years 8 (1980) Choose the regression line. OA. y = 0.750x - 49.58 O C. y = 0.750x + 49.58 OB. y=49.58x + 0.750 = 49.58 ○ D. y = The life expectancy in the year 2000, rounded to one decimal place is years.The year is 208o. The market portfolio has an expected return of 12%, and a standard deviation of returns of 20%. Bitcoin, with return řBTC, is now 70% of the market by market capitalization. That is, in the market portfolio, wBtC = constitute 30% of the market, by market capitalization. 0.7. Let's call the other components of the market collectively fother: They Write an expression for the covariance of fBTC with the market, in terms of the variance a) of řBTC, the variance of řother, and the covariance of řBTC with rother· b) ĪBTC, the variance of fother, and the covariance of fBTC Wwith fother. Write an expression for the variance of the market portfolio, in terms of the variance of c) CAPM holds, what is the expected return on bitcoin, E [ĩBTCl? Assume that the risk-free rate is 3%. The standard deviation of řBTC is 25% and the standard deviation of ĩother is 12%. If the



