oo Ooredoo 4G 12:10 PM 9 mybb.qu.edu.qa - What is the probability that a randoml

Question

oo Ooredoo 4G 12:10 PM 9 mybb.qu.edu.qa - What is the probability that a randomly selected device is defective? 4-If an item is selected at random and it is found defective, what is the probability that it is coming from supplier 3 Problem#3 Consider a batch of 30 devices out of which 10 devices are defective (D). The batch is inspected by choosing randomly a sample of 5 devices (the 5 items are taken at the same time) 1- How many different samples (of five devices) are possible? 2-How many sample of five devices contain exactly one defective device? 3-How many sample of five devices contain at least one defective device? 4-What is the probability to select a sample containing only one defective device? 5-What is the probability to select a sample that has no defective device? Exercise#4 A given firm is producing some electronic devices. Before packaging and delivery stages, some quality control tests are often conducted to ensure the reliability of the products. The firm data shows that 85% of the items are conform (C) and 15% are defective (D). Among the defective devices only 20% can be repaired (R), the rest are scrapped (waste) (S).

Explanation / Answer

p = 10/30 = 1/3, q = 1 - p = 2/3, n = 5

P(x) = nCx p^x q^(n - x)

(1) 30C5 = 142506 samples

(2) P(1) = 5C1 (1/3)^1 (2/3)^4 = 0.3292

0.3292 * 142506 = 46913 samples

(3) P(x 1) = 1 - P(0) = 1 - 5C0 (1/3)^0 (2/3)^5 = 0.8683

0.8683 * 142506 = 123738 samples

(4) 0.3292

(5) P(0) = 5C0 (1/3)^0 (2/3)^5 = 0.1317

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