Respuesta :
The probability that hugo will solve rubik's cube in less than 8 minutes is 0.4375.
We have given that,
the amount of time it takes hugo to solve a rubik's cube is continuous and uniformly distributed between 4.5 minutes and 12.5 minutes.
i.e. a = 4.5 and b = 12.5
The probability that we find a value of X lower than x is given by the f
P(X < x) = [tex]\frac{x-a}{b-a}[/tex]
We have to find probability that it takes hugo less than 8 minutes to solve rubik's cube.
Therefore
P(X < 8) = [tex]\frac{8-4.5}{12.5-4.5}[/tex]
= [tex]\frac{3.5}{8}[/tex]
P(X < 8) = 0.4375
Hence the probability that it takes hugo less than 8 minutes to solve a rubik's cube is 0.4375%.
The uniform continuous distribution is one of the simplest probability distributions in statistics. Is is a continuous distribution, this means that it takes values within a specified range. A continuous uniform distribution takes values in a range [a,b].
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