can some one help me with q12 and q13? (c) none of the desired length? ,12. Ifla

Question

can some one help me with q12 and q13?

(c) none of the desired length? ,12. Ifla icuit conains four aucomatic switches and we want that, with a prubahliy of 99%, during a given time interval the switches to be all working, whar pobability nf failure per tiime interval can we udmi for a single switch? 13. A pressure control apparatus contains 3 electronic s. The apparatus will not work unless all tukes ate tubes. The apparatus will not work unless aill tulres ae operalive. If the prohability of failure nf each tabe during sotme interval of time is 0.04, what is the corresponding prohability of failure of the apparalus! 14. Suppose that in a proxduction of spark plugs the fractiun of defective pluss has been constant at 2% over a long

Explanation / Answer

12) p^4=0.99 gives p=0.9974as the probability that a single switch does not fail duringa given time interval, and the answer is the complement of this, namely0.26%

13)the working probability of all tube remain operative is 0.96*0.96*0.96=0.884736
the probability of at least one tube fails is 1-0.884736=0.115264

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