Answer:
The probability that the temperature on a given day in February is 22º or lower is 16.7 %
Step-by-step explanation:
Given:
Average Temperature,
Standard Deviation of Temperature, [tex\sigma=8.5^{\circ}[/tex]
We have to find: Probability that the temperature is 22° or lower
.i.e., P[ X ≤ 22 ]
Let X be the Temperature on a given day in February.
We use Z-score to calculate required probability.
First we convert X into Z using this relationship,
Now, Probability [ Z ≤ -0.965 ] = 0.167272 = 16.7 %
Therefore, The probability that the temperature on a given day in February is 22º or lower is 16.7 %