Assume that the readings on the thermometers are normally distributed with a mean of 0C and a

Question:

Assume that the readings on the thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. In each case, draw a sketch, and find the temperature reading corresponding to the given information.
For a standard normal find the percentage of data that are
a. within 1 standard deviation of the mean
b. within 1.96 standard deviations of the mean
c. between µ - 3σ and µ + 3σ
d. between 1 standard deviation below the mean and 2 standard deviations above the mean
e. Suppose it turns out that the is not exactly normal, but is positively skewed. How does this affect your responses to parts (a), (b), and (d) of this exercise?
Distribution
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