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A peach farmer has two different varieties (named Variety A and Variety B) of peach trees on her land. Twenty percent of her trees are
- A peach farmer has two different varieties (named Variety A and Variety B) of peach trees on her land. Twenty percent of her trees are Variety A peaches and the other 80% are Variety B peaches. The weights of Variety A peaches are normally distributed with a mean of 92 grams and a standard deviation of 8 grams. The weights of Variety B peaches are normally distributed with a mean of 103 grams and a standard deviation of 13 grams.
- What proportion of Variety A peaches weigh between 100 and 110 grams? (2pt)
- What weight of a Variety B peach corresponds to the third quartile of the distribution? (2pt)
- Overall, what proportion of her peaches weigh less than 100 grams? (4pt)
- If you randomly select a peach that weighs more than 100 grams, what is the probability that it was a Variety A peach? (4pts)
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