A shipment of 100 machine parts is received at the port in New York City. It is known in advance that 30 of the machine parts are defective. A sample of 50 parts is withdrawn from the shipment. a.) What random variable computes the probability that x of the parts in the sample of 50 parts are defective? b.) Write down the probability mass function for your answer in a.) c.) What is the probability that 15 of the parts in the sample are defective? d.) What is the expected value of defective parts in this sample? e.) What is the variance in this experiment?

a glass manufacturer finds 1 in every 500 glass items prodced is warped.  find the probability that A) the first warped glass item is the 10th item produced B) the first warped item is the 1st, 2nd or 3rd item produced C) none of the first 10 items produced are defective

A book publisher determines that the probability of at least one misprint on any given page is .005 in a book containing 600 pages. a.) What random variable computes the probability there are r misprints in the 600 page book? b.) Approximate the probability that at least three pages have a misprint.

A university reports that 80% of its students enrollthere as freshmen, while the rest transfer in from other2- or 4-year colleges. The eventual graduation rate is85% among the transfers, but only 70% amongthose who arrived as freshmen. What’s the probabilitythat a former student who never graduated was atransfer student?A) 0.03 B) 0.11 C) 0.15D) 0.27 E) 0.77

A toy manufacturer inspects boxes of toys before shipment. Each box contains 19 toys. The inspection procedure consists of randomly selecting three toys from the box. If one or more of the toys are defective, the box is not shipped. Suppose that a given box has two defective toys. What is the probability that it will be shipped? a) 0.5201 b) 0.0175 c) 0.7018 d) 0.5635 e) 0.2982 f) None of the above.

17 It is known that 6% of the bulbs manufactured by a business are defective. What is the probability that two of the 5 randomly selected light bulbs are defective?      a) 0.290  B) 0.032  NS) 0.626  D) 0.029  TO) 0.733