3. A grocery store purchases melons from two distributors, J and K. Distributor J provides melons farms. The distribution of the diameters of the melons from Distributor J is approximately normal with mean 133 millimeters (mm) and standard deviation 5 mm. (a) For a melon selected at random from Distributor J, what is the probability that the melon will have a diameter greater than 137 mm? Distributor K provides melons from nonorganic farms. The probability is 0.8413 that a melon selected at random from Distributor K will have a diameter greater than 137 mm. For all the melons at the grocery store, 70 percent of the melons are provided by Distributor J and 30 percent are provided by Distributor K. (b) For a melon selected at random from the grocery store, what is the probability that the melon will have a diameter greater than 137 mm? (c) Given that a melon selected at random from the grocery store has a diameter greater than 137 mm, what is the probability that the melon will be from Distributor J?
3. A grocery store purchases melons from two distributors, J and K. Distributor J provides melons farms. The distribution of the diameters of the melons from Distributor J is approximately normal with mean 133 millimeters (mm) and standard deviation 5 mm. (a) For a melon selected at random from Distributor J, what is the probability that the melon will have a diameter greater than 137 mm? Distributor K provides melons from nonorganic farms. The probability is 0.8413 that a melon selected at random from Distributor K will have a diameter greater than 137 mm. For all the melons at the grocery store, 70 percent of the melons are provided by Distributor J and 30 percent are provided by Distributor K. (b) For a melon selected at random from the grocery store, what is the probability that the melon will have a diameter greater than 137 mm? (c) Given that a melon selected at random from the grocery store has a diameter greater than 137 mm, what is the probability that the melon will be from Distributor J?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:3. A grocery store purchases melons from two distributors, J and K. Distributor J provides melons from organic
farms. The distribution of the diameters of the melons from Distributor J is approximately normal with mean
133 millimeters (mm) and standard deviation 5 mm.
(a) For a melon selected at random from Distributor J, what is the probability that the melon will have a
diameter greater than 137 mm?
Distributor K provides mnelons from nonorganic farms. The probability is 0.8413 that a melon selected at random
from Distributor K will have a diameter greater than 137 mm. For all the melons at the grocery store, 70 percent
of the melons are provided by Distributor J and 30 percent are provided by Distributor K.
(b) For a melon selected at random from the grocery store, what is the probability that the melon will have a
diameter greater than 137 mm?
(c) Given that a melon selected at random from the grocery store has a diameter greater than 137 mm, what is
the probability that the melon will be from Distributor J?
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