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Waygate's residential Internet modem works well but is sensitive to power-line fluctuations. On average, this product hangs up and needs resetting every 200 hours. On average about 45 minutes is needed to reset this product. What is this product's availability

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Answer:

The answer is "In excess of 0.95 "

Explanation:

[tex]MTBF= 200\ hours (12,000\ minutes)\\\\MTR= 45\ minutes (0.75\ hours)[/tex]

Availability equation [tex]=\frac{ MTBF}{(MTBF+MTR)}[/tex]  

Calculating the minutes as the common units:

[tex]= \frac{12,000}{(12,000+45)}\\\\= \frac{12,000}{(12,045)}\\\\= 0.9962\\\\= In\ excess\ of\ 0.95[/tex]

Calculating the hours as the common units:

 [tex]= \frac{200}{(200+0.75)}\\\\= \frac{200}{200.75}\\\\= 0.9962\\\\= In \ excess\ of\ 0.95[/tex]

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