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An internet service provider has embarked on a quality improvement program, where it wants to ensure that the subscribers of its services are able to

An internet service provider has embarked on a quality improvement program, where it wants to ensure that the subscribers of its services are able to experience a target upload speed. The speeds are measured on a standard scale in which the target value is 1.0. Over the past year, the company collected data on the upload speed and found the upload speed to be normally distributed with a mean of 1.005 and a standard deviation of 0.10. Each day, one upload speed is measured. The upload speed is considered acceptable if the measurement on the standard scale is between 0.95 and 1.05.

1. Assuming that the distribution of upload speed has not changed from what it was in the past year, what is the probability that the upload speed is

a. less than 1.0?

b. between 0.95 and 1.0?

c. between 1.0 and 1.05?

d. less than 0.95 or greater than 1.05?

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