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Category > Management Posted 20 Jan 2018 My Price 6.00

daily production in pounds

Milk. Although most of us buy milk by the quart or gallon, farmers measure daily production in pounds. Ayrshire cows average 47 pounds of milk a day, with a standard deviation of 6 pounds. For Jersey cows, the mean daily production is 43 pounds, with a standard deviation of 5 pounds. Assume that Normal models describe milk production for these breeds.

a) We select an Ayrshire at random. What’s the probability that she averages more than 50 pounds of milk a day?

b) What’s the probability that a randomly selected Ayrshire gives more milk than a randomly selected Jersey?

c) A farmer has 20 Jerseys. What’s the probability that the average production for this small herd exceeds 45 pounds of milk a day?

d) A neighboring farmer has 10 Ayrshires. What’s the probability that his herd average is at least 5 pounds higher than the average for part c’s Jersey herd?

 

 

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Maurice Tutor
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Status NEW Posted 20 Jan 2018 10:01 PM My Price 6.00

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