Question: In a shipment of 10,000 of a certain type of electronic component, 300 are defective. Suppose that 50 components are selected at random for inspection, and let X denote the number of defective components found.
(a) The distribution of the random variable X is (choose one)
(i) binomial
(ii) hypergeometric
(iii) negative binomial
(iv) Poisson.
(b) Use R commands to find P(X ≤ 3).
(c) Which distribution from those listed in part (a) can be used as an approximation to the distribution of X?
(d) Using the approximate distribution, give an approximation to the probability P(X ≤ 3), and compare it with the exact probability found in part (b).