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To perform a certain type of blood analysis, lab technicians must perform two pr

ID: 3128554 • Letter: T

Question

To perform a certain type of blood analysis, lab technicians must perform two procedures. The first procedure requires either one or two separate steps, and the second procedure requires either one, two, or three steps. a. List the experimental outcomes associated with performing the blood analysis. b. If the random variable of interest is the total number of steps required to do the complete analysis (both procedures), show what value the random variable will assume for each of the experimental outcomes.

Explanation / Answer

(a)

There are two procedures that a lab technician must perform. The first procedure requires either one or two separate steps, which could be named as x1 and x2. The second procedure requires either one, two or three steps, which could be named as y1, y2 and y3.

The experimental outcomes associated with performing the blood analysis from 1st procedure (x1,x2) and 2nd procedure: (y1,y2,y3): {(x1,y1),( x1,y2),(x1,y3),(x2,y1),(x2,y2),(x2,y3)}

(b)

Values for the random variable to be assumed for each of the outcomes.
* (x1,y1)=2 => the 1st procedure required 1 step

and the 2nd procedure required 1 step * x1,y2=3 =>
the 1st procedure required 1 step and the 2nd procedure required 2 steps * x1,y3=4 =>

the 1st procedure
required 1 step and the 2nd procedure required 3 steps * x2,y1=3 =>

the 2nd procedure required 1 step and
the 1st procedure required 1 step * x2,y2=4 =>

the 2nd procedure required 1 step and the 1st procedure
required 2 steps * x2,y3=5 =>

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