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.

Question

Mathematics

Braxton Callahan

10 September, 19:42

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.

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Answers (1)

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Adyson Trujillo · Answer 1

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