1. The estimator of a mean of data from a Bernoulli distribution ). 2. Binary variables that are random variables are distributed according to a Bernoulli distribution . 3. For the multinomial distribution the analog to the Bernoulli Distribution is the categorical distribution. 4. They all have the same Bernoulli distribution . 5. The Bernoulli distribution is a special case of the binomial distribution with n = 1. 6. The Bernoulli distribution is the probability distribution of whether a Bernoulli trial is a success. 7. Equality holds only for the two point Bernoulli distribution or the sum of two different Dirac delta functions. 8. It reduces to the Bernoulli distribution as a special case when " n " = 1. 9. The "'categorical distribution "'is the generalization of the Bernoulli distribution for a die. 10. For discrete features like the ones encountered in document classification ( include spam filtering ), Bernoulli distributions are popular.