Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose this number X has a Poisson distribution with parameter 𝜇 =0.5. (Round your answers to three decimal places.)

(a) What is the probability that a disk has exactly one missing pulse?

(b) What is the probability that a disk has at least two missing pulses?

(c) If two disks are independently selected, what is the probability that neither contains a missing pulse?