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The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. if one such class is randomly selected, find the probability that the class length is less than 50.6 min.

Respuesta :

The distribution is uniform for 50 ≤ x ≤ 52.
where x =  minutes per class.

The probability P(x < 50.6) is the shaded portion of the distribution.
Its value is
(50.6 - 50)/(52 - 50) = 0.3

Answer:
The probability is  0.3 or 30%

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Answer:

The probability of the class length is less than [tex]50.6[/tex] min is [tex]0.3[/tex] min.

Step-by-step explanation:

Given: The lengths of a professor's classes has a continuous uniform distribution between [tex]50.0[/tex] min and [tex]52.0[/tex] min.

From the question,

The lengths of a professor's classes has a continuous uniform distribution between [tex]50\leq{x}\leq52[/tex], where [tex]x=[/tex] minutes per class.

The probability of class length is less than [tex]50.6[/tex] min is [tex]P(x<50.6)[/tex] is calculated as

[tex]\frac{(50.6 - 50)}{(52 - 50)}=\frac{0.6}{2}\\[/tex]

             [tex]=0.3[/tex]

Therefore, the probability of the class length is less than [tex]50.6[/tex] min is [tex]0.3[/tex] min.

Learn more about probability here:

https://brainly.com/question/9793303?referrer=searchResults

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