In a certain normal distribution, find the standard deviation σ when μ = 50 and 10.56% of the area lies to the right of 55.

The value of the standard deviation in the distribution given is 4

The equivalent expression using the area to the left is :

Using normal distribution table:

Recall :

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4

Step-by-step explanation:

P(x > 55) = 0.1056

P(x < 55) = 1 − 0.1056

P(x < 55) = 0.8944

z = 1.25

z = (x − μ) / σ

1.25 = (55 − 50) / σ

σ = 4

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step-by-step explanation:

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