Question

In a city, it is estimated that the maximum temperature in February is normally distributed with a mean of 23º and a standard deviation of 5°. For 25 days calculate the probability that average temperature is

a) between 21° and 27°.

b) less than 23°.

Answer 1

This is a normal distribution question with

Sample size (n) = 25

Since we know that

This implies that

P(21.0 < x < 27.0) = P(-2.0 < z < 4.0) = P(Z < 4.0) - P(Z < -2.0)

P(21.0 < x < 27.0) = 0.9999683287581669 - 0.022750131948179195

b) P(x < 23.0)=?

The z-score at x = 23.0 is,

z = 0.0

This implies that

PS: you have to refer z score table to find the final probabilities.

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