Micro-processing chips are randomly sampled one by one from a large population, and tested to determine if they are acceptable for a certain application. Ninety percent of the chips in the population are acceptable. Let X be the number of chips testing up to and including the first acceptable chip. That is, if the first acceptable chip is found on the fourth try (FFFP) then X would equal 4.
a) what is the probability that the first chip chosen is acceptable?b) what is the probability that the first chip selected in unacceptable, and the 2nd is acceptable?c) let X represent the number of chips that are tested up to and including the first acceptable chip. Find P(X = 3)d) find the probability mass function of X