SOLUTION: Last fall, a gardener planted 74 tulip bulbs. She found that only 62 of the bulbs bloomed in the spring. a) find the empirical probability that a tulip bulb of this type will bloo

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Question 194851: Last fall, a gardener planted 74 tulip bulbs. She found that only 62 of the bulbs bloomed in the spring.
a) find the empirical probability that a tulip bulb of this type will bloom.
b) How many of the bulbs should she plant next fall if she would like at least 95 to bloom?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
1)Empirical evidence (on a sample of one) shows that 62/74 or 0.838 of planted bulbs result in flowers. So the 'odds are' 83.8% of planted bulbs flower.
2) How many bulbs are required in order to have 95 that flower? Based on the results on part 1, 83.8% of the planted bulbs flower. You want to have 95 flower, so
NumberPlanted+%2A+0.838+=+NumberFlowering
NumberPlanted+%2A+0.838+=+95
NumberPlanted+=+113.38
You can't plant 0.38 of a bulb, so you'll want to plant 114 bulbs.
Given that tulips are perennials, and you already have 65 bulbs that flower, the gardners could plant 114 - 65 = 49 more bulbs and get 95 that flower.
But I suspect this problem will want 114 as the answer to part 2.