Question

4. A jar contains 6 red, 5 green, 4 blue, and 2 yellow marbles. Four marbles are selected without replacement. Determine the probability of the following: DO NOT REDUCE a) One marble of each color is selected. b) The first three marbles are blue and the last marble is yellow. c) All the marbles are blue d) The first two marbles are red and the last two marbles are purple. 5. HORIZON, a national TV provider, reports that today's typical digital cable customer pays about $75 which is the population mean per month. A customer group decides to sample ten customers of HORIZON to determine if the company's information is correct. The following list represents the consumer group's sample data. Monthly digital cable bill (data measured in dollars) 89, 112, 69, 75, 88, 115, 175, 70, 65, 79 a) Calculate the sample mean, median, mode and range to the nearest whole number. b) Calculate the difference between the sample mean monthly cable bill and HORIZON's population mean. c) The consumer group decides to dispute the HORIZON statement if the difference between the sample mean and population mean is greater than 15 dollars. Does the consumer group have reason to dispute HORIZON's report? Explain?

Answer 1

Given, 6 Red marbles, 5 4 blue green marbles & yellow marbles Total 6 +5+41 2² 17 marbles, So, 4 marbles are selected without replacement So, u marbles Can be selected in 19 x 16 xls x 14 ways. Now One marble each colour. Red be selected in Gways Cureen can be selected Blue Com be selected ii 4 ways & Y ellow can be selected in ways la) of can be 5 ways. hence required Probability ين P= 6x 5 x 4 x 2 17 x 16 Xurx 14 17414 238 6) first three are ble of last one yellow 3 blue marbles can be selected (without replacement) in & yellow can be selected in a ways hence required probability is 4x342 ways P = 4x3x2 x 2 17 X16X15*14 1190

c) All the All the marbles are blue All Jour blue marbles can marbles can be selected (with but replacement) in 4x3 x 2x ways Hence, Probability pa 483 x 20l 2380 17X16X 15x14 required - are of no (d) first two marble sed last two are people, here purple mable is so, it is not Choose purple marble, hence it has solution. in jar possible to