The probability of an electronic sensor malfunctioning is known to be 0.10. A random sample of 12 sensors is chosen. Find the probability that:
(a) at least 3 will malfunction.
(b) no more than 5 will malfunction.
(c) at least 1 but no more than 5 will malfunction.
(d) What is the expected number of sensors that will malfunction?
(e) What is the standard deviation of the number of sensors that will malfunction?