Question

Let X1,X2, and X3 represent the times necessary to perform three successive repair tasks at a certain service facility. Suppose they are independent, normal rv's with the same expected value μ=56 and variance σ^2=20. Let T0=X1+X2+X3.

(a) Calculate P(T0≤183)P(T0≤183)

(b) Calculate P(153≤T0≤183)P(153≤T0≤183)

(c) Calculate P(x¯>51)P(x¯>51)

(d) Calculate P(54≤x¯≤58)P(54≤x¯≤58)

Answer #1

Let X1, X2 , X3 be independent
random variables that represent lifetimes (in hours) of three key
components of a device. Say their respective distributions are
exponential with means 1000, 1500, and 1800. Let Y be the minimum
of X1, X2, X3 and compute P(Y >
1000).

Use the dependent variable (labeled Y) and the independent
variables (labeled X1, X2, and X3) in the data file. Use Excel to
perform the regression and correlation analysis to answer the
following.
Generate a scatterplot for the specified dependent variable (Y)
and the X1 independent variable, including the graph of the "best
fit" line. Interpret.
Determine the equation of the "best fit" line, which describes
the relationship between the dependent variable and the selected
independent variable.
Determine the coefficient of...

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