Select all that apply
Out of hundreds of items produced at a factory, 1% are defective and need to be discarded, 6% are defective but can be refurbished, and 93% are in good condition. One of these items is randomly sampled. Let X = 1 if the item needs to be discarded, and X = 0 otherwise. Also, let Y = 1 if the item is defective but can be refurbished, and Y = 0 otherwise. Which of the following statements are correct?
Multiple select question.
X + Y = Z, where Z ~ Bernoulli(0.07)
Y ~ Bernoulli(0.06)
The probability of success for X is pX = 0.1.
It is possible that X and Y both equal 1.