SOLUTION: 5. Old-fashioned mechanical alarm clocks were not all that accurate. Suppose that the alarm on one suck clock is equally likely to go off at any time from 2 minutes before to 2 min
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-> SOLUTION: 5. Old-fashioned mechanical alarm clocks were not all that accurate. Suppose that the alarm on one suck clock is equally likely to go off at any time from 2 minutes before to 2 min
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Question 1175319: 5. Old-fashioned mechanical alarm clocks were not all that accurate. Suppose that the alarm on one suck clock is equally likely to go off at any time from 2 minutes before to 2 minutes after the alarm’s setting. Let the random variable X=the amount of time (in minutes) from when the alarm is set to when it goes off. Note that X will be negative if the alarm goes off early.
a. Sketch a graph of the uniform probability distribution of X.
b. Find the probability that the alarm goes off within 10 seconds of the time for which it is set on a randomly
selected day. Answer by ikleyn(52804) (Show Source):
The given uncertainty interval is 20 seconds long (20 = 10 + 10 seconds).
The base uncertainty interval is 4 minutes long (4 = 2 + 2 minutes), or 4*60 = 240 seconds.
The probability under the problem's question is the ratio = . ANSWER
