Given a multinomial distribution with xi = {0,2,4} and θi = {0.9,0.05,0.05}, calculate the probability ƒ(0,2,4;6,0.9,0.05,0.05)
The multinomial distribution formula is below:
| ƒ(x0!·x1!·x2;n,θ0,θ1,θ2) = | n!(θ0x0·θ1x1·θ2x2) |
| x0!·x1!·x2 |
Calculate n:
n = 0 + 2 + 4n = 6