In: Statistics and Probability
Suppose that a plumb of 1kg is repeatedly weighed to find the characteristics of a balance. The measured weights are known to follow a normal distribution with a mean of 1kg and a standard deviation of 50g. Now, we want to examine the characteristics of the data generated by the repeated measurements. Answer the following question using the 68-95-99.7 rule. Round from the 4th to the 3rd decimal place. Find the probability that the measured weight is between 0.95kg and 1.1kg.