# A coin is either fair or has two heads. You initially assign probabilities of 0.5 to each…

A coin is either fair or has two heads. You initially assign

probabilities of 0.5 to each possibility. The coin is then tossed twice, with

two heads appearing. Use Bayes theorem to work out the posterior probabilities

of each possible outcome.

The average income of a group of people is £8000. 80% of the

group have incomes within the range £600010 000. What is the minimum value of

the standard deviation of the distribution?