A grocery store purchases melons from two distributors , J and K. Distributor J provides melons from organic farms. the dustribution of the diameters of the melons from distributor J is approxamately normal with mean 133 mm and a standard deviation of 5 mm.  Part (a) For a melon selected at random from distributor J, using the normal model, what is the probability that the melon will have a diameter greater than 137 mm?   Distributor K provides melons from non-organic farms, the probabiltiy is 0.8413 that a melon selected at random from distributor K will have a diameter greater than 137 mm. For all the melons in the grocery store 70% of the melons are provided by distributor j and 30% are provided by distributor k.  part (B) For a melon selected at random from the grocery store, what is the probaility that the melon will have a diameter greater than 137 mm?  part (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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A grocery store purchases melons from two distributors , J and K. Distributor J provides melons from organic farms. the dustribution of the diameters of the melons from distributor J is approxamately normal with mean 133 mm and a standard deviation of 5 mm. 

Part (a) For a melon selected at random from distributor J, using the normal model, what is the probability that the melon will have a diameter greater than 137 mm?

 

Distributor K provides melons from non-organic farms, the probabiltiy is 0.8413 that a melon selected at random from distributor K will have a diameter greater than 137 mm. For all the melons in the grocery store 70% of the melons are provided by distributor j and 30% are provided by distributor k. 

part (B) For a melon selected at random from the grocery store, what is the probaility that the melon will have a diameter greater than 137 mm? 

part (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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