When calculating all the values of a binomial distribu-tion, the work can usually be simplified by first calculating b(0; n, θ ) and then using the recursion formulab(x + 1; n, θ ) = θ (n − x) (x + 1)(1 − θ ) · b(x; n, θ )Verify this formula and use it to calculate the values ofthe binomial distribution with n = 7 and θ = 0.25.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.