Let X and Y denote the weights (in grams) of apples which are imported from two different locations: Peshawar (Pakistan) and Zanzibar (Tanzania), respectively. Suppose that X has Normal distribution N(148, 3); and Y has Normal distribution N(151, 4). One apple is randomly selected from each city. We assume independence between X and Y. • [[a)] Find the probability that the weight of the apple from Peshawar exceeds the weight of the one from Zanzibar • [(b)]A random sample of 36 apples is selected from those imported from Peshawar. Compute the probability that their sample mean will fall between 150 and 152.

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Let X and Y denote the weights (in grams) of apples which are imported from two different locations: Peshawar (Pakistan) and Zanzibar
(Tanzania), respectively. Suppose that X has Normal distribution N(148, 3); and Y has Normal distribution N(151, 4). One apple is randomly
selected from each city. We assume independence between X and Y.
• [[a)] Find the probability that the weight of the apple from Peshawar exceeds the weight of the one from Zanzibar
• [(b)]A random sample of 36 apples is selected from those imported from Peshawar. Compute the probability that their sample mean will fall
between 150 and 152.
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Transcribed Image Text:Let X and Y denote the weights (in grams) of apples which are imported from two different locations: Peshawar (Pakistan) and Zanzibar (Tanzania), respectively. Suppose that X has Normal distribution N(148, 3); and Y has Normal distribution N(151, 4). One apple is randomly selected from each city. We assume independence between X and Y. • [[a)] Find the probability that the weight of the apple from Peshawar exceeds the weight of the one from Zanzibar • [(b)]A random sample of 36 apples is selected from those imported from Peshawar. Compute the probability that their sample mean will fall between 150 and 152. Paragraph BI Path: p pe here to search II !!!
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