The cycle times for a truck hauling concrete to a highway construction site are uniformly distributed over the interval 50 to 70 minutes. Required:
What is the probability that the cycle time exceeds 65 minutes if it is known that the cycle time exceeds 55 minutes?

The probability that the cycle time exceeds 65 minutes if it is known that the cycle time exceeds 55 minutes, should be 1 / 3.

Step-by-step explanation:

It is known that the cycle times for a truck hauling concrete is uniformly distributed over a time interval of ( 50, 70 ). If c = cycle time, according to the question the probability that the cycle exceeds 65 minutes, respectively exceed 55 minutes should be the following - ' . '

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We know that the formula for Probability( A | B ) is P( A ∩ B ) / P( B ),

 ∩ /  ,

And now we come to the formula = . Substitute known values to derive two solutions, forming a fraction that represents the probability we desire.

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Take 0.25 over 0.75, 0.25 / 0.75, simplified to the fraction 1 / 3, which is our solution.

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Probability: 1 / 3