Answer:
0.16
Step-by-step explanation:
This probability is the area under the standard normal curve to the right of 82. Note that 82 is ONE standard deviation above the mean: 75 + 7 = 82.
According to the Empirical Rule, 68% of data lies within one standard deviation of the mean. In other words, 34% lies between the mean and one standard deviation above the mean. The remaining area under the standard normal curve is thus (100% - 68%), or 32%. Half of that is 16%.
The probability that the temperature is above 82, or above 1 standard deviation above the mean, is 16%, which we can also express as 0.16.
Alternatively, use a calculator with built-in statistical functions. In this case the desired result is found by executing the following command:
normcdf(82, 10000, 75, 7). The desired result is 0.1587, or approximately 0.16.
