The 68%-95%-99.7% rule tells us that for data that follows a normal distribution, the probability that a

Problem 1:

The 68%-95%-99.7% rule tells us that for data that follows a normal distribution, the probability that a measurement falls within one standard deviation from the mean is 68%, the probability that a measurement falls within two standard deviations from the mean is 95%, and the probability that a measurement falls within three standard deviations from the mean is 99.7%. How can we express the interquartile range of a normal distribution in terms of standard deviation?

Problem 2:

A random variable has a normal distribution with