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Suppose X is normally distributed with mean of 5. If P (X ≤ 3) = 0.2 what is the standard deviation of X?You can use a z-table or a graphing calculator to find the z-value that is associated with a probability to 0.20 (you should get a z-value of about z = -0.84). Then use the z-value formula
z=x−μσ
−0.84=3−5σ
−0.84=−2σ
Solving for the standard deviation (σ) you should get a value of about 2.38. The standard deviation of X is about 2.38.

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varshamittal029

The standard deviation of X is about 2.38.

Suppose X is normally distributed with mean of 5. If P (X ≤ 3) = 0.2

We need to find the standard deviation of X

We can use a z-table or a graphing calculator to find the z-value that is associated with a probability to 0.20 (you should get a z-value of about z = -0.84). Then use the z-value formula

z = (x−μ) /σ

−0.84 = (3−5) /σ

−0.84 = −2/σ

σ = -2/-0.84

σ  = 2.38

Solving for the standard deviation ( σ ) you should get a value of about 2.38. Therefore, the standard deviation of X is about 2.38.

To learn more about normal distribution refer here

https://brainly.com/question/4079902

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