I. A component has a lifetime

T

which varies probabilistically. It is known that

P(T>t)=

\

(1)/(t)

for all

t>1

. Let

A

be the event that

{T>5)

and

B

the event

{T

. Find

P(A\\\\cup B)

and\

P(A\\\\cap B)

.

I. A component has a lifetime T which varies probabilistically. It is known that P(T>t)= 1/t for all t>1. Let A be the event that {T>5) and B the event {T