Problem 4S15 Planetary Communications Inc intends to launch

Problem 4S-15 Planetary Communications, Inc., intends to launch a satellite that will enhance reception of television programs in Alaska. According to its designers, the satellite will have an expected life of four years Assume the exponential distribution applies T/ MTBF e/MTBF T/MTBFe/MTBF T/MTBF e/MTBF 3

Solution

The Solution for above Problem is as follows

a) More Than 12 Years

Here MTBF is 10 Therefore for 12 years

T= 12 Years

MTBF= 10 Years

T/MTBF= 12/10=1.2

From Table 4S-15 e-^1.2= 0.3012

B) Less Than 17 Years

T= 17 Years

MTBF= 10 Yrs

T/MTBF= 1.7

The Probability of Failure before 17 Years 1- e^-1.7 = 1- 0.1827= 0.8173

C) More than 12 YEars But Less Than 17 Years

Using Probabilities as shown in table

P( Failure After 12 Years) = .3012

-P(Failure after 17 Years) = .1827

0.3012-0.1827=0.1185

D) Greater Than 27 Years

T= 27

MTBF= 10

T/MTBF= 2.7

From Table 4S-15 e-^2.7= 0.0672