# Zero inflated negative binomial distribution expected frequency

I have data vector and I am trying to do chi square test. This test use frequency from real data and expected frequency. my data

table(T1)
T1
0   1   2   3   4   5   6   7   8   9  10  11  12  13  14  26
204  11   5  11   5   1   8   2   3   1   1   2   2   2   2   1


if I use R to generate data set that follow my distribution results are quite close.

testiramo <- rZINBI(261, mu = 1.19, sigma = 3.13, nu = 0.78)
table(testiramo)
testiramo
0   1   2   3   4   5   7  11
237   9   3   7   1   2   1   1


mu = mean
sigma = std.deviation
nu = probability of zeroes

My questions are

1. How to calculate expected frequency for zero inflated negative binomial to compare with using chi square test?

2. is it possible to define range / level of overdispersion of data (as you can see in this generated sample of data have maximum value of 11 and mine is 26)