Use the recursion formula of Exercise 8 to show that for θ = 1/2 the binomial distribution has
Exercise 8
When calculating all the values of a binomial distribution, the work can usually be simplified by first calculating b(0; n, θ ) and then using the recursion formula
Verify this formula and use it to calculate the values of the binomial distribution with n = 7 and θ = 0.25.