SOLUTION: 95% of the time an alarm clock works properly. What is the probability that the alarm clock will fail to wake up the individual 1 day out of the year.

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Question 1159661: 95% of the time an alarm clock works properly. What is the probability that the alarm clock will fail to wake up the individual 1 day out of the year.
Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
If you mean ONE day and exactly ONE day. (Meaning, not "one or more" days.):

%280.95%29%5E364+%2A+%280.05%29%5E1+%2A+%28365%21%2F%28364%21%2A1%21%29%29

= 0.000000007787 * 0.05 * 365

= 0.0000001421
---------------------------------------------------------

If you mean ONE OR MORE days:

1+-+%280.95%29%5E365

= 1 - 0.000000007398

= 0.999999992602