Your task is to select a supplier for each of the ten components, so as to maximise theprobability of a “successful outcome” for APLO’s 30,000 ecological streetlight project inIndonesia.A key indicator of success is the reliability of the streetlights. The ‘reliability’ may be definedas the probability that for a typical streetlight, no component will fail during the five-yearguarantee period.Write an expression for the ‘reliability’ of a typical streetlight in terms of the defect rates foreach of the ten selected components.

n a manufacturing company, 5% of the items are defective. Assum-ing that successive items pass or fail independently of one another, calculatethe probability of each event

High-quality products possess the following attributes. (Choose all that apply)Multiple select question.ReliabilityAfter-sales supportSuperior designHigher production costs

A1. The probability that each item coming off a production line is defective is pand theprobability that it is non-defective is q, 0 < p < 1, p+q= 1. At the beginning of aday’s production, a quality control officer repeatedly inspects item each coming off aproduction line until he inspects nitems. Let Xbe the number of defective items hefinds.(a) Write down without proof the probability that X=k, indicating the possiblevalues of k. Hence, by considering the expansion of p+qn+q−pn. Show thatthe probability that Xis even is121 + (1 −2p)n

There are 400 defects, 10 defects per opportunity and a total of 50 units. Calculate the DPO.

You need to calculate the reliability of each vendor for the system.