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 6 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 left parenthesis 32 degrees Upper F right parenthesis​?

Answer 1

Answer:

Probability that X <32 degrees

$=P(Z$

Convert this into percent by multiplying by 100

95.22% of days in February has minimum temperatures below freezing (32 degrees Upper F )​

Step-by-step explanation:

Given that a city's mean minimum daily temperature in February is 22 degrees Upper F, with std deviation 6 degrees.

Let X be the minimum temperature in February

Then X is N(22,6)

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

Probability that X <32 degrees

$=P(Z$

Convert this into percent by multiplying by 100

95.22% of days in February has minimum temperatures below freezing (32 degrees Upper F )​