Find the indicated probability. Give your answer as a simplified fraction. 48) T

Question

Find the indicated probability. Give your answer as a simplified fraction. 48) The manager of a used car lot took inventory of the automobiles on his lot and constructed the 48 following table based on the age of his car and its make (foreign or doenestic). A car was randonly selecned from the lot. Given that the car selected was a foreign car, what is the probability that it was older than 2 years? Age of Car (in years) Make 0-2 3-5 6-10 over 10 Total -Foreign Domestic36 28 15 21 100 oa 81 45 A) 119 B) D) 20 DSTATIDs 54.1-10 Topie d) Conpate conditional robablioes. Provlde an appropriate response. Express your answer as a simplified fraction unless otherwise noted. 49) An ice chest contains 4 ans of apple juice, 6 cans of grape juice, 9 ans of orange juce, and 2 cars of pineapple julce. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting no grape juice. 130 D) 13 B) 133 Topic Objective: (54) Compute probehilties using the General Multiplication Rule 50) A bag contains 10 white, 12 blue, 13 red, 7 yelow, and 8 green wooded balls. A hall is selected 50) from the bag and kept. You then draw a second ball and keep it also. What is the probability of selecting two blue balls? Round your answer to four decimal places. A) 0.05% B) 0.0528 )0.0539 D) 0.0588 ID.STATIDSS 542-1 Topic Objectlve (3.4) Compute probablitlies using the Genenel Mulriplication ule Classify the following random variable according to whether it is discrete or continuous 51) the pressure of water coming out of a fire hose 51) A) continmuous D: STATID5S 6.31-4 Topic Cejective 6.1) Dgisth berween discrote and continuous random variablos B) discrete Provide an appropriate response. 52) Civen the table of probabilities for the random variable x, does this form a probability distribution? 52) Answer Yes or No. Pix) 0.02 007 A) No B) Yes 12

Explanation / Answer

48)

Out of 100 foreign cars, 29+12+14 = 55 are older than 2 years so

P(older than 2 years | foreign cars) = 55 / 100 =11/20

correct option is D.

49)

Total number of cans: 4+6+9+ 2= 21

Number of ways of selecting 3 cans out of 21 is C(21, 3) = 1330

Out of 21 cans, 15 are non grape juice cans so number of ways of selecting non grape juice is

C( 15,3) = 455

So required probability is

P(non grape juice) = 455 / 1330 = 91 / 266

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