13) 13) A fast-food restaurant chain has 617 outlets in the United States. The f

Question

13) 13) A fast-food restaurant chain has 617 outlets in the United States. The following table categorizes them by city population and location and presents the number of outlets in each category. An outlet is chosen at random from the 617 to test market a new menu. Re on Population of city NE SE SW NW Under 50,000 27 25 32 22 50,000 - 500,000 58 45 54 44 Over 500,000 72 127 70 41 Given that the outlet is located in the West (either SW or NW), what is the probability th is in a city with population 50,000-500,000? A) 0.373 B) 0.278 C) 0.159 D) 0.764 14) A coin is tossed 3 times. Find the probability that all 3 tosses are tails. 14) A) B) 15) In a second grade class containing 15 girls and 11 boys, 2 students are selected at random to give out the math papers. What is the probability that the second student chosen is a boy, given that the first one was a girl? 15 11 26 25 15 3 26 5 B) D) 26 16) 16) Evaluate the combination: 12Cg B) 495 C) 479,001,600 D) 19,958,400 A) 96 17) 17) Evaluate the following: 7Ps. B) 5,040 C) 6 D) 35 A) 210 18) How many ways can a student select five questions from an exam containing 12 questions, if one of the five must be the last question? D) 330 B) 7920 C) 95,040 A) 40,320

Explanation / Answer

13) P(50,000 - 500,000 | SW or NW) = (54+44)/(32+22+54+44+70+41)

= 0.373

14) P(3 tails) = 1/2 x 1/2 x 1/2 = 1/8

15) After chosing first one as girl, there are total 25 students remaining, of which 11 are boys

So, probability = 11/25

16) 12C8 = 12!/(4!x8!) = 495

17) 7P3 = 7! /(7-3)! = 210

18) If one of the 5 is last question, he have choice of selective 4 from 11 remaining

Number of ways = 11C4 = 330

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