Question

Let X be normally distributed with mean μ = 10 and standard deviation σ = 6....

Let X be normally distributed with mean μ = 10 and standard deviation σ = 6. Use Excel to find the following probabilities.

What is P(X ≤ 0)?

What is P(X > 2)?

What is P(7 ≤ X ≤ 12)?

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Answer #1

formulas are highlighted below:

a)

P(X<=0) =norm.dist(0,10,6,true) =0.04779

b)

P(X>2) =1-norm.dist(2,10,6,true) =0.908789

c)

P(7<X<12)=norm.dist(12,10,6,true)-norm.dist(7,10,6,true)=0.322021

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