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A random sample of 2 measurements is taken from the following population of valu

ID: 3206970 • Letter: A

Question

A random sample of 2 measurements is taken from the following population of values: 0, 1, 3, 4, 7. What is the probability that the range of the sample is 4?

a) 0.2

b) 0.4

c) 0.3

d) 0.5

e) 0.1

f) None of the above

A furniture store is having a sale on sofas and you're going to buy one. The advertisers know that buyers get to the store and that 1 out of 11 buyers change to a more expensive sofa than the one in the sale advertisement. Let X be the cost of the sofa. What is the average cost of a sofa if the advertised sofa is $200 and the more expensive sofa is $375?

a) 214.58

b) 287.50

c) 359.09

d) 215.91

e) 215.80

f) None of the above

Explanation / Answer

More expensive = $375
cost of sofa = $200

= Number of buyers (10) x $200 + Number of buyers (1) x ($375) / Total # of Buyers (11)
= 2375 / 11 = approximately $215.9099 = $215.91

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