Suppose that a company selects two people who work independently inspecting two-by-four timbers. their job is to identify low-quality timbers. suppose that the probability that an inspector does not identify a low-quality timber is 0.20. (a) what is the probability that both inspectors do not identify a low-quality timber? (b) how many inspectors should be hired to keep the probability of not identifying a low-quality timber below 1%? (c) interpret the probability from part (a).

Step-by-step explanation:

Given

Probability that an inspector doe not identify  low-quality timber=0.20

(a)Probability that both inspector do not identify a low quality timber

(b)Let n be the no of inspector

Probability should be less than  1%=0.01

so

Taking both sides

x>2.861

thus minimum value of x is 3

(c)From part b it is clear that minimum 3 officer are required to to keep the low  quality timber below 1%

on an average 2 officer are not sufficient to identify 4 low quality timber out of 100

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation: