Question

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

Answer 1

Answer:

The answer is "In excess of 0.95 "

Explanation:

$MTBF= 200\ hours (12,000\ minutes)\\\\MTR= 45\ minutes (0.75\ hours)$

Availability equation $=\frac{ MTBF}{(MTBF+MTR)}$  

Calculating the minutes as the common units:

$= \frac{12,000}{(12,000+45)}\\\\= \frac{12,000}{(12,045)}\\\\= 0.9962\\\\= In\ excess\ of\ 0.95$

Calculating the hours as the common units:

 $= \frac{200}{(200+0.75)}\\\\= \frac{200}{200.75}\\\\= 0.9962\\\\= In \ excess\ of\ 0.95$