I am trying to fit a binomial formula to these 2 questions but I am struggling
Victoria Jones runs a small business making and selling statues of her cousin the adventurer Tasmania Jones.
The statues are made in a mould, then finished (smoothed and then hand-painted using a special gold paint) by
Victoria herself. Victoria sends the statues in order of completion to an inspector, who classifies them as either
‘Superior’ or ‘Regular’, depending on the quality of their finish.
If a statue is Superior then the probability that the next statue completed is Superior is p.
If a statue is Regular then the probability that the next statue completed is Superior is p – 0.2.
On a particular day, Victoria knows that p = 0.9.
On that day
b if the first statue inspected is Superior, find the probability that the next three statues are Superior
On another day, Victoria finds that if the first statue inspected is Superior then the probability that the third
statue is Superior is 0.7.
d. i. Show that the value of p on this day is 0.75.