A person will wait at least 1.8720 seconds before the wave crashes when the waves are crashing onto the beach every 4.8 second
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
[tex]P(X\leq x)[/tex] = x-a / b-a
Uniform distribution from 0 to 4.8 seconds.
This means that a=0 , b=4.8
61% of the time a person will wait at least how long before the wave crashes in?
This is the 100 - 61 = 39% percentile, which is x for which [tex]P( X\leq x)= 0.39[/tex] . So
[tex]P(X\leq x)= \frac{x-a}{b-a}[/tex]
x= 1.8720
the time a person will wait at least 1.8720 seconds before the wave crashes in.
learn more about of probability here
https://brainly.com/question/16997267
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