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- Q2 - Returns on stocks X and Y are listed below: Period 1 2 3 4 5 6 7Stock X 4% 7% -2% 40% 0% 10% -1%Stock Y 2% -5% 7% 4% 6% 11% -4% Consider a portfolio of 10% stock X and 90% stock Y.What is the mean of portfolio returns?Please specify your answer in decimal terms and round your answer to the nearest thousandth (e.g., enter 12.3 percent as 0.123).The duration, x, of a monthly faculty meeting is uniformly distributed between 30 and 80 minutes. Which of the following statements is true? (choose all that apply). a. Prob (x>80) = 0 b. Prob (x<85) = 1 c. Prob (x>35) = 1 d. Prob (x <30) < 0a) What is the value of b? b) From this obtain the probability that X is between 2 c) What is the probability that X is exactly 2? d) Find the cumulative distribution function of X.
- A researcher claims that the number of homicide crimes by season is uniformly distributed. To test this claim, you randomly select 1,205 homicides from a recent year and record the season when each happened. The table shows the results. At α = 0.01, test the researcher's claim. Season Frequency, f Spring 301 Summer 319 Fall 299 Winter 286 State H0 and Ha and identify the claim. H0: The distribution of the number of homicide crimes by season Ha: The distribution of the number of homicide crimes by season(3.2 #16c) Most Expensive Colleges Listed below are the annual costs (dollars) of tuition and fees at the ten most expensive colleges in the United States for a recent year (based on data from U.S. News & World Report). The colleges listed in order are Columbia, Vassar, Harvey Mudd, University of Chicago, Trinity, Franklin and Marshall, Tufts, Amherst, University of Southern California, and Sarah Lawrence. 57,208 55,210 54,886 54,825 54,770 54,380 54,318 54,310 54,259 54,010 What is the standard deviation of this sample?Answer with explanation in Excel Formulas Problem 1: Assume the number of downloads per day of a popular APP A follows a normally distribution with a mean of 2800 and standard deviation of 860. Answer the following questions. Assume the company providing the downloading service has designed its servers so there is probability 0.01 that the number of downloads in a day exceeds the servers' capacity and more servers have to be brought online. Q:How many downloads per day are the servers designed to handle?
- 27. The number of combinations C, of taking r objects out of n objects is given by: n! Cn rl(n-r)! (a) Determine how many combinations are possible in a lottery game for selecting 6 numbers that are drawn out of 49. (b) Using the following formula, determine the probability of guessing two out of the six drawn numbers. C9,6 (Use the built-in function factorial.) 28. The formula for changing the base of a logarithm is: log N log a logaN (a) Use MATLAB's function log (x) to calculate log, 0.085. (b) Use MATLAB's function log10 (x) to calculate log, 1500. 29. The equivalent resistance, Reg, of four resis- tors, R1, R2, R3, and R4, that are connected in parallel is given by: eq Rea 1 +-+ R R2 R3 R4 1 1 + Calculate R, if R, = 1202, R2 = 2202, R, = 750 , and R, = 1302 . %3D 30. The voltage Vc t seconds after closing the switch in the circuit shown is: Ve = Vo(1 -eRC) ) Given Ve = 36 V, R = 2500 2, and C = 1600 µ F, calculate the current 8 seconds after the switch is closed. 31. Radioactive…An annual marathon covers a route that has a distance of approximately 26 miles. Winning times for this marathon are all over 2 hours. The following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. Earlier Period 6 22 23 14 15 20 15 18 7 18 15 10 10 14 16 12 23 13 16 16 Recent Period 8 8 7 9 9 10 8 14 8 11 14 7 9 9 10 7 7 8 9 9 (a) Make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. Use two lines per stem. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks Minutes Beyond 2 Hours Earlier Period 0 NONE 0 6,7 1 ? 1 ? 2 0,2,3,3 2 NONE (b) Make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. Use two lines per stem. (Use the tens digit as the stem and the ones digit as the leaf. Enter NONE in any unused answer blanks.) Minutes Beyond 2 HoursRecent Period…Using the joint distribution describing X and Y, the following formula was derived E(XKym) = 2km+3(m+k)+4 (k+1)(k+2)(m+1)(m+2) where k and m are both nonnegative constants. Simplify Var( 2X - 3Y) [ Select ] - Var(X) [Select] [ Select ] Var(Y) [Select] [ Select ] Cov(X,Y)
- X = factorial(3) def factorial(n): if n == 1:return 1else:return n* factorial (n-1) def factorial(n):if n== 1: return 1else: 2return n * factorial(n-1) def factorial(n):if n==1: return 1 else:return n* factorial (n-1) Provide a relationship with the domain subset of the integers that is proven using mathematical inductionA researcher claims that the number of homicide crimes by season is uniformly distributed. To test this claim, you randomly select 1,208 homicides from a recent year and record the season when each happened. The table shows the results. At α = 0.10, test the researcher's claim. Season Frequency, f Spring 309 Summer 314 Fall 298 Winter 287 Question content area bottom Part 1 State H0 and Ha and identify the claim. H0: The distribution of the number of homicide crimes by season ▼ differs from the expected. is the same as the expected. is not uniformly distributed. is uniformly distributed. Ha: The distribution of the number of homicide crimes by season ▼ is not uniformly distributed. differs from the expected. is uniformly distributed. is the same as the expected.A drawer holds purple socks and yellow socks. If n socks are taken out of the drawer at random, the probability that all are yellow is 1/2. What is the smallest possible number of socks in the drawer (as a function of n)?
