The Pmf for X = the Number of Major Defects $$\begin{array} { l c c c c c } \hline x & 0 & 1 & 2 & 3 & 4 \\\hline P ( x ) & .10 & .15 & .45 & .25 & .05 \\\hline\end{array}$$

question 4

Essay

The pmf for X = the number of major defects on a randomly selected gas stove of a certain type is $$\begin{array} { l c c c c c } \hline x & 0 & 1 & 2 & 3 & 4 \\\hline P ( x ) & .10 & .15 & .45 & .25 & .05 \\\hline\end{array}$$ Compute the following:
a. E(X)
b. V(X) directly from the definition
c The standard deviation of X
d. V(X) using the shortcut formula

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Definitions:

Manipulate

To handle or control in a skillful manner, often used in the context of therapy or in a derogatory sense to indicate deceitful control.

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The precise or measured temperature of an object, environment, or organism at any given time.

Tracheostomy Care

The maintenance and cleaning of a tracheostomy tube and the surrounding skin to prevent infection.

Stoma Site

The area on the body where a stoma has been surgically created, typically to divert waste or urine.