## can anyone help mee!!! A set of data has a normal distribution with a mean of 52 and a standard deviation of 8. Find the percent of data wit

Question

can anyone help mee!!! A set of data has a normal distribution with a mean of 52 and a standard deviation of 8. Find the percent of data within the following interval.

less than 52

%

The percent of data within the given interval is

(Type an integer or a decimal)

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Math
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2021-09-15T09:33:40+00:00
2021-09-15T09:33:40+00:00 1 Answer
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## Answers ( )

Answer:P (X > 52) = 0.5

Step-by-step explanation:Standard Deviation = SD,

Mean = M

Since the Mean is 52 and the Standard Deviation is 8 we have:

P (X<52) = P (X – M < 52 – 52) = P (X – M/SD < 52 – 52/8)

Since X – M / SD = Z and 52 – 52/8 = 0 we have:

P (X < 52) = P (Z < 0)

Use the Standard Normal Distribution Table to find that:

P (X < 0) = 0.5