Which of the Given Functions Is Discontinuous?
A) $f ( x ) = \left\{ \begin{array} { c c } \frac { 1 } { x - 11 } , & x \neq 11 \\9 , & x = 11\end{array} \right.$

question 30

Multiple Choice

Which of the given functions is discontinuous?

• A)\(f ( x ) = \left\{ \begin{array} { c c }
• \frac { 1 } { x - 11 } , & x \neq 11 \\
• 9 , & x = 11
• \end{array} \right.\)
• B) \(f ( x ) = \left\{ \begin{array} { c c }
• \frac { 1 } { x - 2 } , & x \geq 11 \\
• \frac { 1 } { 9 } , & x < 11
• \end{array} \right.\)

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Definitions:

P-value

The probability of obtaining test results at least as extreme as the results actually observed, given that the null hypothesis is true.

Mean Lifetime

The average length of time that an entity (like a product or component) is expected to last under specified conditions.

Critical Value(s)

Critical values are threshold values that define regions where the test statistic leads to the rejection of the null hypothesis.

Significance Level

The probability of rejecting the null hypothesis in a statistical test when it is actually true, used as a threshold for determining the statistical significance of a result.