bility and Statistics I [16301]
Madison Somerville 03/05/25 11:13 PM
3 Independence and the
Question 10, 5.3.21
HW Scorc: \( 41.54 \%, 5.4 \) of 13 points
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In airine applications, falure of a component can resut in catastrophe. As a result, many airine components utize something called triple modular redundancy. This means that a ortcal componert has two bachup components that may be utized should the inital component fal. Suppose a certain critcal airine componert has a probablity of falure or 0.0065 and the syatem riat utizas the has two bachap components that may be utized shou
(a) Assurring each components falurelsuccess is independent of the others, what is the probabily all three componerts fall, reesiling in disaster for the tigttr?
(b) What is the probablity at leset one of the components does not fail?
(a) The probabiliy is \( \square \)
(Round to eight decimal places as needed.)
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