A-conservative-design-team-call-it-C-and-innovative-design-team-call-it-N-are-asked-to-separately-design-a-new-product-within-a-month-From-past-experience-we-know-that-a-The-probability-that-te

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Question Number 132551 by liberty last updated on 15/Feb/21

$$\mathrm{A}\mathrm{conservative}\mathrm{design}\mathrm{team},\mathrm{call}\mathrm{it}\mathrm{C}$$$$\mathrm{and}\mathrm{innovative}\mathrm{design}\mathrm{team}\mathrm{call}$$$$\mathrm{it}\mathrm{N},\mathrm{are}\mathrm{asked}\mathrm{to}\mathrm{separately}\mathrm{design}$$$$\mathrm{a}\mathrm{new}\mathrm{product}\mathrm{within}\mathrm{a}\mathrm{month}.$$$$\mathrm{From}\mathrm{past}\mathrm{experience}\mathrm{we}\mathrm{know}\mathrm{that}$$$$\left(\mathrm{a}\right)\mathrm{The}\mathrm{probability}\mathrm{that}\mathrm{team}\mathrm{C}\mathrm{is}\mathrm{successful}\mathrm{is}2/3$$$$\left(\mathrm{b}\right)\mathrm{The}\mathrm{probability}\mathrm{that}\mathrm{team}\mathrm{N}\mathrm{is}\mathrm{successful}1/2$$$$\left(\mathrm{c}\right)\mathrm{The}\mathrm{probability}\mathrm{that}\mathrm{at}\mathrm{least}\mathrm{one}$$$$\mathrm{team}\mathrm{is}\mathrm{successful}\mathrm{is}3/4$$$$\mathrm{Assuming}\mathrm{that}\mathrm{exactly}\mathrm{one}\mathrm{successful}$$$$\mathrm{design}\mathrm{is}\mathrm{produced},\mathrm{what}\mathrm{is}\mathrm{the}$$$$\mathrm{probability}\mathrm{that}\mathrm{it}\mathrm{was}\mathrm{designed}\mathrm{by}$$$$\mathrm{team}\mathrm{N}?$$

Answered by guyyy last updated on 20/Feb/21

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