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qwelly [4]
3 years ago
10

The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 78 inches, and a standard d

eviation of 16 inches. what is the probability that the mean annual precipitation during 64 randomly picked years will be less than 80.8 inches?
Mathematics
1 answer:
quester [9]3 years ago
7 0

The sample mean is μ=78, and sample standard deviation is σₓ=σ/\sqrt{n}=16/\sqrt{64}=2.

The Z-score is Z=\frac{80.8-78}{2} =1.4.

The required probability

P(X

Refer to standard normal distribution table.

P(Z

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