Transmission errors occur randomly and independently in time and can be modelled as a Poisson random variable. Let X = the number of transmission errors per unit time, assume: X ~ Pois (lambda = 10). However not all transmission errors are detected. Suppose that a transmission error gets detected with probability 0.6 (independent of all other transmissions). Let Y = the number of transmission errors detected. Given X transmission errors were sent, Y|X ~ binomial (n = X, p = .6). Calculate probability distribution of X given that Y = 8 transmission errors were detected, i.e. P(X|Y=8). ( don't copy other answers and show your own work in detail. I'll give thumb up)
