Please help with several homework questions: :confused: :eek: :eek:

A shop that produces custom kitchen cabinets has two employees, "S" and "C". 95% of "C" work is satisfactory and 10% of "S" work is unsatisfactory. 60% of the shops cabinets are made by "C" (the rest by "S"). Find the following probabilities: (a) an unsatisfactory cabinet was made by "C"; (b) a cabinet is unsatisfactory.

A chapter of union Local 715 has 73 members. In how may different ways can the chapter select a president, a vice-president, a secretary, and a treasurer?

A cellular phone manufacturer randomly selects 5 out of every 50 phone from the assemble line and test them. If at leas 4 of the 5 pass inspection, the batch of 50 is considered acceptable. find the probability that a batch of 50 phones is considered acceptable given the following additional information: (a) the batch of 50 phones contains 2 defectives; (b) the batch of 50 phone containe no defectives (c) the batch of 50 phones contains 3 defectives.

A new factory machine manfactures computer chips in malfunctioning and has a 20% defect rate. If 5 chips are randomly selected from the machine, find the following probabilities. (a) non are defective; (b) less tha 2 are defective.

The insurance industry has found that the probability is .9 that a life insurance applicant will qualify at the regular rates. Find the probability that of the next 10 applicants for life incurance, the following numbers will qualify at the regular rates. (a) exactly 9; (b) at least 9.