SOLUTION: The weights of pears in an orchard are normally distributed with mean 0.32 pound and standard deviation 0.08 pound. a.) If one pear is selected at random, what is the probabilit

Question 768600: The weights of pears in an orchard are normally distributed with mean 0.32 pound and standard deviation 0.08 pound.
a.) If one pear is selected at random, what is the probability that it's weight will be between 0.28 and 0.34 pound?
b.) If X̄ denotes the average weight of a random sample of four pears, what is the probability that X̄ will be between 0.28 and 0.34 pound?

Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!
The weights of pears in an orchard are normally distributed with mean 0.32 pound and standard deviation 0.08 pound.
a.) If one pear is selected at random, what is the probability that it's weight will be between 0.28 and 0.34 pound?
b.) If X̄ denotes the average weight of a random sample of four pears, what is the probability that X̄ will be between 0.28 and 0.34 pound?
Answers:
a) 0.2902
b) 0.5328
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