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ozzi
3 years ago
8

The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 105 ' and a standard deviation

of 10 ' what is the probability that the mean annual snowfall during 25 randomly picked years will exceed 107.8 'your answer should be a decimal rounded to the fourth decimal place.
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0

The sample mean is μ=105, and sample standard deviation is σₓ=\frac{σ}{\sqrt{n}}  =\frac{10}{\sqrt{25}}  =2.

The Z-score is Z=\frac{ 107.8-105}{2}=1.4.

Refer to standard normal distribution table.

The required probability is

P(X>107.8)=P(Z>1.4)=1-P(Z

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