1. The number of heart patients diagnosed in each of seven leading cities in the Philippines in 1992 is listed below. Construct the pie graphs. City Number Number of of Males Females Baguio 210 175 Cebu 320 220 Davao 530 475 Iloilo 300 350 Laoag 150 130 Manila 500 415 Zamboanga 300 180
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- Former pro football star O.J. Simpson was accused of murdering his wife. In the trial, a defense attorney pointed out that although Simpson had been guilty of earlier spousal abuse, annually only about 40 women are murdered by their partner per 100,000 incidents of partner abuse. But this was misleading. Every year it is estimated that about 5 of every 100,000 women in the US who suffer partner abuse are killed by someone other than their partner. Draw a tree diagram for women who suffer partner abuse. Calculate the following (round to 5 decimal places):a) What is the probability that a woman who suffers partner abuse will be murdered by their partner?b) What is the probability that a woman who suffers partner abuse will be murdered (by anyone)?c) What is the probability that a murdered woman who suffered partner abuse was murdered by their partner?A sampled injection-molded part could have been produced in either one of two presses and in any one of the eight cavities in each press. Use tree diagram.A person starting in Columbus must visit Great Falls, Odessa, and Brownsville (although not necessarily in that order), and then return home to Columbus in one car trip. The road mileage between the cities is shown. Great Falls Columbus Odessa Brownsville Columbus 102 79 56 --- Great Falls 102 47 69 --- Odessa 79 47 72 --- Brownsville 56 69 72 a) Draw a weighted graph that represents this problem in the space below. Use the first letter of the city when labeling each vertex. b) Find the weight (distance) of the Hamiltonian circuit formed using the nearest neighbor algorithm. Give the vertices in the circuit in the order they are visited in the circuit as well as the total weight (distance) of the circuit. Remember to include the unit of measure in your final answer. 4. Find a Hamiltonian circuit in the following graph. (There is more than one possible answer.) Either clearly mark the path you take with directional arrows and numbers or list the vertices in the order that you visit…
- 5. The following table contains data collected on memberships to the following streaming networks: Netflix, Hulu, and HBO. The mumber of recorded memberships for each network in June 2020 is measured in thousands. The data is separated into several age MA114_Sp SHARED. groups Copy = Netflix Hulu HBO Total 445 16-21 91 364 900 450 1825 915 810 22-30 460 1720 2 Save 546 3191 31-40 364 355 810 136 1324 41-60 Total 1406 2525 5255 * Repa Let A- {people with memberships from age 16 to 30} B- (people with a Hulu membership} C- (people with memberships from age 22 to 40}. (a) Use symbols and set operations to write down the event "people with a Hulu membership who are from age 22 to 40." (b) Find the relative frequency of A? Leave your answer as a fraetion, do not compute a rounded decimal. (c) Find the relative frequency of BnC Leave your answer as a fraction, do not compute a rounded decimal.Shade the Venn Diagram for the set (BNA') UC ..... Use the graphing tool to shade the regions. A В Click to enlarge graph C .....5. A health spa claims that a new exercise program will reduce a person 's waist size at least 2 centimeters on average over a 5-day period. The waist sizes, in centimeters, of six men who participated in this exercise program are recorded before and after the 5-day period in the following table: Man | Waist Size Before 90.4 95.5 98.7 115.9 104.0 85.6 Waist Size After 91.7 93.9 97.4 3. 4. 5n 6. 112.8 101.3 84.0 By computing a 96%confidence interval for the mean reduction in waist size, determine whether the health spa's claim is valid. Assume the distribution of differences in waist sizes before and after the program to be approximately normal.
- The following is a bar graph shows the number of medals won by Southeast Asian Countries in the SEA GAMES 2019 held in the Philippines. NUMBER OF MEDALS WON BY SE ASIAN COUNTRIES IN SEA GAMES 2019 400 350 300 387 250 318 200 267 287 150 100 185 167 50 6. 34 73 46 LAOS SINGAPORE VIETNAM COUNTRIES a. Set of countries which won medals greater than and equal to 185. b. Set of number of medals won by Thailand, Vietnam and Philippines. c. Set of countries which has exactly 300 number of medals. TIMOR LESTE CAMBODIA MYANMAR MALAYSIA INDONESIA AILAND PHILIPPINES(5) Out of all the brand X cell phones, 70% are made in Vietnam and 30% are made in Taiwan. Of the phone made in Vietnam, 5% have battery problems. Out of the phones made in Taiwan, 15% have battery problems. a. Draw a tree diagram for this problem. b. What percent of all phones have battery problems?You'd like to study social networks. Consider the following 26 people {A,B,C,...,X,Y,Z} in a social network graph. (These people can be thought of as "nodes" or points drawn on a piece of paper.) Here, we'd like to model "followers." How many different ways can we draw arrows between two people from these 26? Here, "A-->B" (A is a follower of B) is not the same as "B-->A" (B is a follower of A). Order matters here.
- A survey regarding height (in cm) of 60 boys belonging to BBA program at JGBS l was conducted. The following data was recorded. Height in cm Frequency 150-155 4 155-160 8 160-165 5 165-170 7 170-175 11 175-180 20 180-185 5 Student having height more than 170 is considered as tall student. a) Use appropriate graph to answer the following questions: b) Number of students having height > 165 c) Number of students having height more than 155 d) Total tall students in class. e) Median using graphical method Note- answer all parts of the questionThe following is a bar graph shows the number of medals won by Southeast Asian Countries in the SEA GAMES 2019 held in the Philippines. NUMBER OF MEDALS WON BY SE ASIAN COUNTRIES IN SEA GAMES 2019 400 350 300 250 200 387 150 318 100 267 287 50 167 185 34 13 46 73 LAOS CAMBODIA MYANMAR SINGAPORE MALAYSIA INDONESIA VIETNAM COUNTRIES a. Set of countries which won medals greater than 100. PHILIPPINES b. Set of countries which won 150 medals and less. c. Set of countries which have number of medals between 100 and 300. d. Set of countries which won medals greater than and equal to 185. e. Set of number of medals won by Thailand, Vietnam and Philippines. f. Set of countries which has exactly 300 number of medals. TIMOR LESTE BRUNEI THAILAND5. The following table gives information on the number of megapixels and the prices of nine randomly selected point-and-shoot digital cameras that were available on BestBuy.com on July 22, 2009. Megapixels 10.3 10.2 7.0 9.1 10.0 12.1 8.0 5.0 14.7 Price ($) 130 150 62 160 200 280 125 60 400 Compute the following. a. SSxx, SSyy, and SSxy b. Standard deviation of errors c. SST, SSE, and SSR d. Coefficient of determination