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Normal approximation to compute the probability:
A lot contains 100 articles of which 10 are defective. The lot is rejected if a random sample of 10 articles drawn from the lot contains more than 2 defectives. Use normal approximation to compute the probability that the lot is accepted.
Solution:
Let X represents the number of defective articles in the sample. The variable X follows the hypergeometric distribution with parameters
N = 100,n - 10,M = l0 and has E(X) = 10.(10/100) = 1 and
V(X) =σ2 = 10.10/100.(1-(10/100)) (100-10/100-1) =9/11
The required probability is
As per Australian Standard AS 1170, what are the different types of loads that can be encountered by structures which need to be taken into account for their design?
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