7. Every year in early October Steven King buys pumpkins of one
size from a farmer in Maine and then hires an artist to carve
bewitching faces in them. He then tries to sell them at his produce
stand in a public market in Boston. The farmer charges Steven $2.00
per pumpkin and the artist is paid $3.00 per carved pumpkin. Steven
sells a carved pumpkin for $8.00. Any pumpkins not sold by 5:00
p.m. on Halloween are donated to Steven’s favorite children’s
hospital. Steven pays the artist $.5 per pumpkin to rush the
pumpkins to the hospital for the youngsters to enjoy. Steven
estimates the demand for his pumpkins this season to be uniformly
distributed within a range of 40 to 80. a. How many pumpkins should
Steven have available for sale? b. Based on your answer to (a),
what is the probability that Steven will be short pumpkins?
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