The discussion focuses on calculating the probability P(x > 2) for a binomial random variable x, with two scenarios: n = 8 trials and a success probability p = 0.3, and n = 6 trials with p = 0.1. Participants emphasize using the binomial probability formula P(x = m) = nCm * p^m * (1-p)^(n-m) to compute probabilities. It is noted that calculating P(x <= 2) and subtracting from 1 simplifies the process. The correct terminology is highlighted, correcting "trails" to "trials."
PREREQUISITESStatisticians, data analysts, students studying probability theory, and anyone involved in statistical modeling using binomial distributions.
First, it "trials", not "trails"! P(x= m)= 8Cm(0.3)m(0.7)8-m. Since "x> 2" means x= 3, 4, 5, 6, 7, or 8, it might be simpler to find find P(x<= 2)= P(x= 0)+ P(x=1)+ P(x= 2) and then subtract from 1.nachelle said:Suppose x is a discrete, binomial random variable
Calculate P(x > 2), given trails n = 8, success probability p = 0.3
and
given trails n = 6, success probability p = 0.1