Question

a produce buyer for a juice company is buying peaches. he makes a choice of either michigan, wisconsin, new york, or imported peaches. for this contract he must also choose large or extra large. write out the sample space and assume each outcome is equally likely. then give the probability of the requested outcomes in parts (a) and (b) below. write out the sample space. choose the correct answer below. a. s = {(wisconsin, large), (wisconsin, extra large), (michigan, large), (michigan, extra large), (new york, large), (new york, extra large), (imported, large), (imported, extra large)} b. s = {(wisconsin, large), (wisconsin, extra large), (michigan, large), (michigan, extra large), (imported, large), (imported, extra large)} c. s = {(wisconsin, large), (michigan, extra large), (new york, large), (new york, extra large), (imported, extra large)} d. s = {(wisconsin, large), (michigan, large), (michigan, extra large), (new york, large), (new york, extra large), (imported, extra large)}

Explanation:

planation:

Step1: Determine the number of origin options and size options

There are 4 origin options (Michigan, Wisconsin, New York, imported) and 2 size options (large, extra - large).

Step2: Generate the sample space

By the multiplication principle, the total number of outcomes in the sample space is \(4\times2 = 8\).
For each origin (Wisconsin, Michigan, New York, imported), we pair it with each size (large, extra - large).

Answer:

A. \(S=\{(Wisconsin,large),(Wisconsin,extra\ large),(Michigan,large),(Michigan,extra\ large),(New\ York,large),(New\ York,extra\ large),(imported,large),(imported,extra\ large)\}\)