Question 1173096
the mean is midway between the limits or 2.3 sec.
variance is (b-a)^2/12 or 4.6^/12=1.766 sec^2
sd is sqrt (V)=1.33 sec.
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probability of an exact point is 0. This is a continuous function and only ranges have non-zero values.
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between 0.3 and 2.7 is 2.4 sec and the probability of that is 2.4/4.6 or 0.5217
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probability >2.02 sec is (4.6-2.02)/4.6=0.5609
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the uniform distribution has a memory, in that if one waits long enough, it will be certain at some point that the individual will experience whatever is being looked at. The starting point is when the person arrives at the shoreline, so the distribution is already operating at 0.1 sec.
So this means the the end point is now 4.5 sec. and the probability will be 0.3/4.5 or 0.0067
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89% of 4.6 sec is 4.094 sec.
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Upper quartile starts at 75% of the interval or 3.45 sec.