I'm new here and I would like to know if anyone can help me or give me an insight. I just have this exercise below to solve and I'm having a hard time doing it. Im studying the tree diagram method and the Bayes' theroem so maybe I'll need to use one of them...
A digital computer uses words of 32 binary digits, these being 0 or 1. Knowing that the probability of misreading a binary digit is 10^-3, find the probability that two digits are misread in a word.
thanks in advance
Hint: Binomial distribution
$$P(X=x)={n\choose x}p^x q^{n-x}$$
Where $$n=\text{Number of trials}\\ x=\text{Number of succeses}\\ p=\text{Probability of succeding in one trial}\\ q=1-p$$