A fire-detection device utilizes three temperature-sensitive cells acting independently of each other in such a manner that any one or more may activate the alarm. Each cell possesses a probability of p = 0.88 of activating the alarm when the temperature reaches 100° Celsius or more. Let Y equal the number of cells activating the alarm when the temperature reaches 100°. (Round your answers to four decimal places.)

a) find the probability distribution for Y.

b) find the probability that the alarm will function when the temperature reaches 100 degree.