Question

if P=0.5 for Bernoulli distribution find mean variance and also write it's probability mass function ​

Answer 1

Answer:

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Step-by-step explanation:

In probability theory and statistics, the Bernoulli distribution, named after Swiss mathematician Jacob Bernoulli,[1] is the discrete probability distribution of a random variable which takes the value 1 with probability {\displaystyle p} and the value 0 with probability {\displaystyle q=1-p,} that is, the probability distribution of any single experiment that asks a yes–no question; the question results in a boolean-valued outcome, a single bit whose value is success/yes/true/one with probability p and failure/no/false/zero with probability q. It can be used to represent a (possibly biased) coin toss where 1 and 0 would represent "heads" and "tails" (or vice versa), respectively, and p would be the probability of the coin landing on heads or tails, respectively. In particular, unfair coins would have {\displaystyle p\neq 1/2.}