2 The probability that a certain sample of radioactive material emits an alpha-particle in one unit of time is 0.14 . In one unit of time no more than one alpha-particle can be emitted. The number of units of time up to and including the first in which an alpha-particle is emitted is denoted by \(T\).

1. Find the value of
   (a) \(\mathrm { P } ( T = 5 )\),
   (b) \(\mathrm { P } ( T < 8 )\).
2. State the value of \(\mathrm { E } ( T )\).