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14. Old-fashioned mechanical alarm clocks were not very accurate about when the alarm went off. The density curve below describes the distribution of times a certain alarm clock went off. The scale on the x-axis represents when the alarm went off, in seconds, before (negative) or after (positive) the alarm was set to go off. What proportion of the time did the alarm go off within 10 seconds of the time it was set for? Shade the appropriate area on the graph to show how you found the answer. -30 30
math   Statistics-And-Probability   
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Answer #1

Application of Uniform distribution--

Acconding to the question, dzotnibiction f times the cerbain alurm clock were → 30 30 msi diot mibuctiom aet, x = ㄳ time when the alan m locl ment dt in seson then, xUnidorom30, 3o0丿 we need, that the alarm x , I went of within io secondi the tme (0 10 (0 dy (x) 60 -10 -30 10 O 10 10 60 「So, we need-tne areaof the shaded xegion to 0-(to 60 20 3332 Reguimed pmepor tion o 3333 tAnk

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