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What is the probability that a randomly selected truck from a delivery fleet drives between 86 and 142 miles in a day?

A) 0.1587

B) 0.6827

C) 0.9545

D) 0.8413

User Chevett
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8.2k points

1 Answer

5 votes

Final answer:

Accurate determination of the probability that a truck drives between 86 and 142 miles in a day requires additional information about the distribution of miles driven. Without specifics, we cannot match the given probabilities to this scenario. The correct option is b.

Step-by-step explanation:

To determine the probability that a randomly selected truck from a delivery fleet drives between 86 and 142 miles in a day, additional information regarding the distribution of miles driven is required. However, this question appears similar to questions that involve normal distribution probabilities, which often refer to empirical rules or standardized z-scores to find probabilities between certain ranges.

Without specific distribution data or a stated mean and standard deviation for the miles driven by the trucks, the probabilities given (0.1587, 0.6827, 0.9545, 0.8413) cannot be linked to the range of 86 to 142 miles. These values closely resemble the probabilities associated with standard deviations from the mean in a normal distribution, commonly known as the 68-95-99.7 (empirical) rule, but we would need the actual distribution parameters to provide an accurate answer.

User Gokul NC
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