X₁ X₂ X3, and X₁ are normally distributed random variables X₂ The variable(s) which follow(s) a standard normal distribution is (are) Y₁. Y₂. and Y₂ are normally distributed random variables Use the normal cumulative distribution function to answer the following questionsa If Y₁ - N(5.9), Pr (Y₁ $5.5) - If Y₂ - N(15,25), Pr(Y₂>10) - If Y₁ - N(28,16), Pr (20 ≤ Y, < 40) - (Round your answers to four decimal places) Out of the above, the variable(s) which has (have) a skewness value of zero and a kurtosis value of 3 is (are)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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X₁, X₂, X3, and X₁ are normally distributed random variables X, N(0,0). X₂ N(0.1). X,N(1.0), and X - N(1.1)
The variable(s) which follow(s) a standard normal distribution is (are)
Y₁. Y₂. and Y₂ are normally distributed random variables Use the normal cumulative distribution function to answer the following questions
If Y₁N(5.9), Pr(Y₁ ≤5.5) =
If Y₂ - N(15.25), Pr (Y₂> 10) =
If Y₁ - N(28,16), Pr (20 ≤ Y₂ ≤40) -
(Round your answers to four decimal places)
Out of the above, the variable(s) which has (have) a skewness value of zero and a kurtosis value of 3 is (are)
X₁
X₂
X3
all of the above
none of the above.
Transcribed Image Text:A X₁, X₂, X3, and X₁ are normally distributed random variables X, N(0,0). X₂ N(0.1). X,N(1.0), and X - N(1.1) The variable(s) which follow(s) a standard normal distribution is (are) Y₁. Y₂. and Y₂ are normally distributed random variables Use the normal cumulative distribution function to answer the following questions If Y₁N(5.9), Pr(Y₁ ≤5.5) = If Y₂ - N(15.25), Pr (Y₂> 10) = If Y₁ - N(28,16), Pr (20 ≤ Y₂ ≤40) - (Round your answers to four decimal places) Out of the above, the variable(s) which has (have) a skewness value of zero and a kurtosis value of 3 is (are) X₁ X₂ X3 all of the above none of the above.
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