1. (2+2=4 marks) Packages of sugar with the mean weight equal to 5 lb and with...

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1. (2+2=4 marks) Packages of sugar with the mean weight equal to 5 lb and with standard deviation of weights equal to 0.08 lb are shipped in the bags which contain 50 packages. a. Find probability that the average weight of a package in a bag is more than 4.98 lb. b. Find probability that the total weight of 50 packages in a bag is less than 250.5 lb. Keep four digits after decimal point in the answers a. and b. a. Show your work in finding probability in a and b. Probability that the mean weight of a package in a bag is more than 4.98 lb is b. Probability that the total weight of 50 packages in a bag is less than 250.5 lb is 1. (2+2=4 marks) Packages of sugar with the mean weight equal to 5 lb and with standard deviation of weights equal to 0.08 lb are shipped in the bags which contain 50 packages. a. Find probability that the average weight of a package in a bag is more than 4.98 lb. b. Find probability that the total weight of 50 packages in a bag is less than 250.5 lb. Keep four digits after decimal point in the answers a. and b. a. Show your work in finding probability in a and b. Probability that the mean weight of a package in a bag is more than 4.98 lb is b. Probability that the total weight of 50 packages in a bag is less than 250.5 lb is