Question

A​ city's mean minimum daily temperature in February is 22 degrees Upper F. Suppose the standard deviation of the minimum temperature in February is 5 degrees Upper F and that the distribution of minimum temperatures in February is approximately Normal. What percentage of days in February has minimum temperatures below freezing (32 degrees Upper F )​?

Answer 1

Answer:

97.72%

Step-by-step explanation:

Given that a city's mean minimum daily temperature in February is 22 degrees Upper F, with std deviation 5 degrees.

Let X be the minimum temperature in February

Then X is N(22,5)

To calculate  percentage of days in February has minimum temperatures below freezing (32 degrees Upper F )

Probability that X <32 degrees

=$P(Z<\frac{32-22}{5}) =P(Z<2)\\ = 0.9772$

Convert this into percent by multiplying by 100

97.72% of days in February has minimum temperatures below freezing (32 degrees Upper F )​