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A city temperature is modeled as a normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less or equal to 15 degrees Celsius?

User Wjbeau
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1 Answer

4 votes

Answer: 0.6915

Explanation:

Given :
\text{Mean}=\mu=10^(\circ)C


\text{Standard deviation}=\sigma=10^(\circ)C

Since , the distribution follows a Normal distribution.

The formula to calculate the z-score is given by :-


z=(x-\mu)/(\sigma)

For x=
15^(\circ)C


z=(15-10)/(10)=0.5

The p-value =
P(z\leq0.5)=0.6914625\approx0.6915

Hence, the required probability : 0.6915

User Zin Yosrim
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