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larisa [96]
2 years ago
13

A city temperature is modeled as a normal random variable with mean and standard deviation both equal to 10 degrees Celsius. Wha

t is the probability that the temperature at a randomly chosen time will be less or equal to 15 degrees Celsius?
Mathematics
1 answer:
irina1246 [14]2 years ago
3 0

Answer: 0.6915

Step-by-step 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=\dfrac{x-\mu}{\sigma}

For x=15^{\circ}C

z=\dfrac{15-10}{10}=0.5

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

Hence, the required probability : 0.6915

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