a survey is carried out on a computer network.the probability that a log on to the network is succesful is 0.97.find the probabilty that exactly six out of eight users that attempt to log on will do so successfully.
x is bin(8, 0.97)
P = C(8,6) * 0.97^6 * 0.03^2 = 0.0209908945242108 is this correct or am i doing this completely wrong???
But wait I hear you cry, a probability of 0.97 indicates a range of possible values of 0.965 to 0.975 (give or take an end point). That gives a range for the answer of 0.0277 to 0.0150, so we have at best only one significant figure, so the answer should be truncated to 0.02.