Most production model hybrid cars use a large battery as the

Most production model hybrid cars use a large battery as the core component of their power system. The battery lifetime of a particular hybrid follows an exponential distribution with mean lifetime of 8.62 years. What is the probability that one of these hybrid cars will have a battery that will last between 8 and 10 years?

Solution

Most production model hybrid cars use a large battery as the core component of their power system. The battery lifetime of a particular hybrid follows an exponential distribution with mean lifetime of 8.62 years. What is the probability that one of these hybrid cars will have a battery that will last between 8 and 10 years?

\\Lambda = 1/8.62 = 0.11600928

P( 8<x<10) = p( x <10) – P( x<8)

= 0.6865 - 0.6047

=0.0818

The required P=0.0818