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Answer :
To find the probability that a randomly selected package weighs between 115 and 125 lbs, we need to determine the proportion of the total weight range that falls within this range.
The weight range given is from 100 to 135 lbs. The difference between the maximum weight (135 lbs) and the minimum weight (100 lbs) is 35 lbs.
To find the proportion of the weight range between 115 and 125 lbs, we need to calculate the difference between the maximum weight (125 lbs) and the minimum weight (115 lbs). The difference is 10 lbs.
Now, we can calculate the probability by dividing the weight range of interest (10 lbs) by the total weight range (35 lbs).
Probability = Weight range of interest / Total weight range
= 10 lbs / 35 lbs
Simplifying the fraction, we get:
Probability = 2/7
Therefore, the probability that a randomly selected package weighs between 115 and 125 lbs is 2/7.
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