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Q2 (a) The mass, x of each rubber in a random sample of 50 rubbers from a certain farm is measured in kilograms. It is summarized that Σx = 75.5 and Ex² = 118.42. Calculate the probability that the mean mass of the rubbers is between 1.45 kg and 1.55kg.

Q2 (a) The mass, x of each rubber in a random sample of 50 rubbers from a certain farm is measured in kilograms. It is summarized that Σx = 75.5 and Ex² = 118.42. Calculate the probability that the mean mass of the rubbers is between 1.45 kg and 1.55kg.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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The mass, x of each rubber in a random sample of 50 rubbers from a certain farm is measured in kilograms. It is summarized that Σx = 75.5 and Ex² = 118.42. Calculate the probability that the mean mass of the rubbers is between 1.45 kg and 1.55kg. (b) An experiment was performed to compare the wear and tear of rubber shoes produced by Factory A and B. It is known that the wear and tear of rubber shoes produced by both factories are normally distributed. Table Q2 shows the necessary data. Q2 (a)
Transcribed Image Text:The mass, x of each rubber in a random sample of 50 rubbers from a certain farm is measured in kilograms. It is summarized that Σx = 75.5 and Ex² = 118.42. Calculate the probability that the mean mass of the rubbers is between 1.45 kg and 1.55kg. (b) An experiment was performed to compare the wear and tear of rubber shoes produced by Factory A and B. It is known that the wear and tear of rubber shoes produced by both factories are normally distributed. Table Q2 shows the necessary data. Q2 (a)
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