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In a sample with a mean of 46 and a standard deviation of 8, what is the probability of randomly selecting a score below 64?

a) 0.7881
b) 0.8119
c) 0.8681
d) 0.8919

User York Shen
by
8.4k points

1 Answer

4 votes

Final answer:

To find the probability of randomly selecting a score below 64, we need to calculate the z-score using the standard normal distribution.

Step-by-step explanation:

To find the probability of randomly selecting a score below 64, we need to use the standard normal distribution and calculate the z-score.

Z = (X - μ) / σ

Where X is the given score, μ is the mean, and σ is the standard deviation.

Z = (64 - 46) / 8 = 2.25

Using a standard normal distribution table or a calculator, we can find that the probability of a z-score of 2.25 or less is approximately 0.9875.

Therefore, the probability of randomly selecting a score below 64 is approximately 0.9875.

User Brian Ball
by
7.9k points
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