Answer :
80.8% of the time, the average yearly snowfall across the 25 years that were randomly chosen will be greater than 72.8 inches.
Describe the term Normal Distribution?
- When we are aware of the normal distribution of the data, we must utilize that normal distribution to calculate probabilities.
- That is, in order to determine the necessary area under the normal curve, we must use the mean and indeed the population standard deviation.
As the question stated;
The z score is estimated as;
z = (x - μ)/σ
In which,
Mean μ = 70 inche
standard deviation σ = 10 inches.
n = 25
z = (72.8 - 70)/(10/√25)
z = 2.8/2
z = 1.40
Use z-score table to find the value;
P(x > 72.8 inches) = P(z > 1.40)
P(x > 72.8 inches) = 1 - P(z < 1.40)
P(x > 72.8 inches) = 1 - 0.9192
P(x > 72.8 inches) = 0.0808
Thus, 80.8% of the time, the average yearly snowfall across the 25 years that were randomly chosen will be greater than 72.8 inches.
To know more about the Normal Distribution, here
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