+537 If six people decide to come to a basketball game, but three of them are only 2/5 sure that they will stay for the entire time (the other three are sure they'll stay the whole time), what is the probability that at the end, at least 5 people stayed the entire time?
+2234 Solution:
Three of the six will remain at the game until its conclusion, this leaves three (3) with a 40% probability of remaining at the game until its conclusion.Find the probability that two (2) or more of these three (3) will remain. To find this probability, calculate the Binomial CDF for ρ(X≥2,0.40)(32)∗0.42∗0.61+(33)∗0.43=0.352The probability is 35.2%
GA
