$4.$ An electronic component has an exponential time to failure distribution with $\backslash (\backslash$lambda$=\mathrm{.}0004\backslash )$ hours.

a$)$ What are the mean and variance of the time to failure?

b$)$ What is the reliability at $8500$ hours? $(15$ pts $)$

$5.$ Excel sheet third tab This data is from a process that your company is monitoring. Create the appropriate control chart$($s$)$ for this data. Is the process in control? $(15$ pts $)$

$6.$ For the process above, the specification for the product is $\backslash (150\backslash$pm $50\backslash ).$ What is the $\backslash (\backslash$mathrm$\{$Cp$\},\backslash$mathrm$\{$Cpk$\}\backslash ),$ and Cpm for the process? What does each index say about the process? $(15$ pts$)\backslash$begin$\{$tabular$\}\{|$r$|$r$|$r$|$r$|$r$|\}$

$\backslash$hline Sample & Trial $1$ & Trial $2$ & Trial $3$ & Trial $4\backslash \backslash$

$\backslash$hline $1$ & $114$ & $129$ & $110$ & $143\backslash \backslash$

$\backslash$hline $2$ & $150$ & $153$ & $154$ & $148\backslash \backslash$

$\backslash$hline $3$ & $174$ & $170$ & $167$ & $177\backslash \backslash$

$\backslash$hline $4$ & $175$ & $177$ & $169$ & $169\backslash \backslash$

$\backslash$hline $5$ & $167$ & $150$ & $157$ & $166\backslash \backslash$

$\backslash$hline $6$ & $157$ & $127$ & $143$ & $148\backslash \backslash$

$\backslash$hline $7$ & $153$ & $141$ & $151$ & $141\backslash \backslash$

$\backslash$hline $8$ & $151$ & $153$ & $159$ & $152\backslash \backslash$

$\backslash$hline $9$ & $152$ & $149$ & $145$ & $136\backslash \backslash$

$\backslash$hline $10$ & $154$ & $156$ & $165$ & $164\backslash \backslash$

$\backslash$hline $11$ & $165$ & $169$ & $160$ & $165\backslash \backslash$

$\backslash$hline $12$ & $156$ & $147$ & $162$ & $153\backslash \backslash$

$\backslash$hline $13$ & $157$ & $143$ & $147$ & $145\backslash \backslash$

$\backslash$hline $14$ & $164$ & $144$ & $159$ & $160\backslash \backslash$

$\backslash$hline $15$ & $171$ & $143$ & $155$ & $146\backslash \backslash$

$\backslash$hline $16$ & $160$ & $156$ & $152$ & $151\backslash \backslash$

$\backslash$hline $17$ & $151$ & $139$ & $146$ & $152\backslash \backslash$

$\backslash$hline $18$ & $146$ & $145$ & $151$ & $153\backslash \backslash$

$\backslash$hline $19$ & $153$ & $151$ & $157$ & $154\backslash \backslash$

$\backslash$hline $20$ & $155$ & $127$ & $158$ & $153\backslash \backslash$

$\backslash$hline $21$ & $146$ & $158$ & $162$ & $166\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$