2. A fair coin is spun 6 times and the random variable \(T\) represents the number of tails obtained.
- Give two reasons why a binomial model would be a suitable distribution for modelling \(T\).
- Find \(\mathrm { P } ( T = 5 )\)
- Find the probability of obtaining more tails than heads.
A second coin is biased such that the probability of obtaining a head is \(\frac { 1 } { 4 }\) This second coin is spun 6 times.
- Find the probability that, for the second coin, the number of heads obtained is greater than or equal to the number of tails obtained.