Q:

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 )​?

Accepted Solution

A:
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 FebruaryThen 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 =[tex]P(Z<\frac{32-22}{5}) =P(Z<2)\\ = 0.9772[/tex]Convert this into percent by multiplying by 10097.72% of days in February has minimum temperatures below freezing (32 degrees Upper F )​