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Question 12 Tor A random sample of 2 measurements is taken from the following po

ID: 3276262 • Letter: Q

Question

Question 12 Tor A random sample of 2 measurements is taken from the following population of values:-1,0,2,3,6. What is the probability that the range of the sample is 37 a) 0.1 b) 0.6 c) 0.3 a5 e) 0.4 None of the above Question 1.3 A funiture store is having a sale on sofas and you're to expensive sofa than the one in the sale advertisement. Let X be the cost of the sofa. What is the a expensive sofa is $3757 as and you're going to buy one. The advertisers know that buyers get to the store and that I out of 4 buyers change to a more verage cost of a sofa if the advertised sofa is $200 and the more a) 331.25 b) 243.42 c) 243.75 d) 287.50 e) 235.00 0 None of the above

Explanation / Answer

12) Total number of samples of size 2 that can be taken from the population size of 5 = 5C2 = 10

number of cases with range 3 = 3 [(-1,2), (0,3), (3,6)]

P(range 3) = 3/10 = 0.3 (option c)

13) P(sale of advertised sofa) = 3/4

p(sale of expensive sofa) = 1/4

Average cost of sofa = (200x3/4) + (375x1/4)

=$243.75 (option c)

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