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)?
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
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. What is P(X = 10)? Provide 4 decimal places in your answer.
Let X be normally distributed with mean μ = 10 and standard deviation σ = 6. Provide 4 decimal places in your answer. What is P(3.5 ≤ X ≤ 10)? What is P(X = 10)?
Let X be normally distributed with mean μ = 3,200 and standard deviation σ = 1,600. [Use Excel commands instead of the z table.] a. Find x such that P(X ≤ x) = 0.9382. (Round "z" value to 2 decimal places, and final answer to nearest whole number.) c. Find x such that P(3,200 ≤ X ≤ x) = 0.1217. (Round "z" value to 2 decimal places, and final answer to nearest whole number.)
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Let X be normally distributed with mean μ = 3,200 and standard deviation σ = 1,200. [Use Excel commands instead of the z table.] a. Find x such that P(X ≤ x) = 0.9382. (Round "z" value to 2 decimal places, and final answer to nearest whole number.) b. Find x such that P(X > x) = 0.025. (Round "z" value to 2 decimal places, and final answer to nearest whole number.) c. Find x such that P(3,200 ≤ X...
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