Question

5. Consider a simple organism that has 3 independent components. For this organism, over time, it will be “alive” if and only if at least one of its components is still functional . Once a component has lost its functionality (i.e. this component is down) it can NOT regain its functionality. Suppose time (from birth (of organism)) until component 1 goes down has an Exp(λ=2.5) distribution, while time (from birth) until component 2 goes down has an Exp(λ=3.5) distribution and time (from birth) until component 3 goesl down has an Exp(λ=1.2) distribution.

What is the P(time until organism is NOT alive (i.e time till its death) < 8.5)?

Answer 1