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marta [7]
3 years ago
8

A set of average city temperatures in July are normally distributed

Mathematics
1 answer:
Archy [21]3 years ago
3 0

Answer:

a) 59.87%

Step-by-step explanation:

Given that the mean temperature (μ) = 23.5°C and the standard deviation (σ) is 2 °C.

The z score is used in statistics to measure number of standard deviation by which the raw score is above or below the mean value, It is calculated using the equation:

z=\frac{x-\mu}{\sigma}

The average temperature of the City of Van Nuys is 23 degrees. The z score is

z=\frac{x-\mu}{\sigma}=\frac{23-23,5}{2} =-0.25

P(x > 23) = P(z > -0.25) = 1 - P(z < -0.25) = 1 - 0.4013 = 0.5987 = 59.87%

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