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Suppose a normal distribution has a mean of 50 and astandard deviation of 3. What is

Suppose a normal distribution has a mean of 50 and astandard deviation of 3. What-example-1
User Igor Kasuan
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1 Answer

16 votes
16 votes

Answer:

A. 0.84

Step-by-step explanation:

By the empirical rule, we have the following

Where m is the mean and s is the standard deviation.

In this case, we want to calculate P(x < 53) but

mean + standard deviation = 50 + 3 = 53

So, we need to calculate the probability that it is lower than m + s, so the probability is equal to

P(x < 53) = 0.15% + 2.35% + 13.5% + 34% + 34%

P(x < 53) = 84%

Since 84% = 0.84, we get that the answer is

A. 0.84

Suppose a normal distribution has a mean of 50 and astandard deviation of 3. What-example-1
User Shangsunset
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