A k out of n system is one in which there is a group of n components, and the system will function if at least k of the componen
ts function. For a certain 4 out of 6 system, assume that on a rainy day each component has probability 0.6 of functioning, and that on a nonrainy day each component has probability 0.9 of functioning. What is the probability that the system functions on a rainy day
