Binomial conditions, the distribution table and graph shape
Consider the following repeated-trial situation
A fixed number of independent trials gives success or failure, but the success probability changes between trials
Decide whether this situation can be modelled by a binomial distribution
For the distribution table below, use a separate binomial variable with \(n=6\) and \(p=2/7\)
| \(x\) | \(\Pr(X=x)\) |
|---|---|
| \(0\) | \(\frac{15625}{117649}\) |
| \(1\) | \(\frac{37500}{117649}\) |
| \(2\) | \(\square\) |
| \(3\) | \(\square\) |
| \(4\) | \(\frac{6000}{117649}\) |
| \(5\) | \(\square\) |
| \(6\) | \(\frac{64}{117649}\) |