For the random variable described in each situation below, state whether the Binomial distribution would provide a satisfactory model, giving your reasons. If it would state the values of n and p . (a) The number of sixes obtained when three dice are thrown simultaneously. (b) The number of children in a class of 20, whose birthday anniversary falls on a Sunday this year. (c) The number of tosses is required when a one rand coin is tossed until the first head appears. (d) The number of girl children in the families of US presidents. (e) The number of 'even numbers' that appear in the winning lotto numbers in a given draw.