Question 2: Suppose that X is a normally distributed random variable with mean value 5.0 and standard deviation 1.25. Compute the following probabilities, and show the steps for all your calculations. a) Р(X < 5) b) P(X < 7.5) с) Р(Х 2 5) d) P(2 < X < 8)

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Q: 3 4. 16 = (V = (-_)} = a ||

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A: We have, E(3X-7)=8⇒3E(X)-7=8⇒3E(X)=15⇒E(X)=153=5 Also, E(X22)=19⇒E(X2)=19×2=38 Then,…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.