Practice Problems---BU255 Midterm 2023Fall 2023-10-24--- Solution

 Data from low to high are: 12, 13, 17, 21, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58, 60. What is the relative frequency of the class “30 but under 40” (including 30 but excluding 40)? a) 5 b) 0.30 c) 0.25 d) 1.00

 What is the median of the data in the right table? a) 51,000 b) 12,000 c) 130,307.7 d) 64,500 Company Number of Cars in Service Enterprise 460,000 Hertz 350,000 ANC Rental Group 322,000 Avis 220,000 Budget 146,000 Dollar 78,000 Thirfty 51,000 U-Save 15,000 Rent-a-Wreck 12,000 Advantage 12,000 Payless 8,000 ACE 8,000

 What is the variance of the sample below? Firm No. of Partners Deloitte & Touche 2,618 6,853,924 1,290,874.7 7 Ernst & Young 2,118 4,485,924 404,708.07 PricewaterhouseCoopers 2,027 4,108,729 297,206.73 KPMG 1,535 2,356,225 2,826.70 Grant Thornton 312 97,344 1,368,510.0 0 BDO Seidman 281 78,961 1,442,000.6 1 Summations 8,891 17,981,10 7 4,806,126.8 8 Firm No. of Partners Deloitte & Touche 2,618 6,853,924 1,290,874.7 7 Ernst & Young 2,118 4,485,924 404,708.07 PricewaterhouseCoopers 2,027 4,108,729 297,206.73 KPMG 1,535 2,356,225 2,826.70 Grant Thornton 312 97,344 1,368,510.0 0 BDO Seidman 281 78,961 1,442,000.6 1 Summations 8,891 17,981,10 7 4,806,126.8 8 a. 1,481.83 b. 961,225.38 c. 980.42 d. 17,981.107

 Which of these sample spaces is NOT properly defined? a) Roll a die, S = {1, 2, 3, 4, 5, 6} b) Flip a coin, S = {head, tail} c) Roll a die, S = {odd number, number less than 3} d) Draw a card, S = {spade, heart, diamond, club}

 Which of these sets of events is mutually exclusive? a) Roll a die → {throw a 2 or more}, {throw an even number} b) Draw a card → {draw red}, {draw the queen of hearts} c) Draw a card → {draw a king}, {draw black} d) Roll a die → {throw a 6}, {throw a 5 or less}