Pallets being placed into a container are uniformly distributed with weights between 100 and 135 lbs. What is the probability that a randomly selected package with weight?

For a uniform distribution between 100 and 135 lbs, the probability of randomly selecting a package of any particular weight is 1 divided by the range of values (35), which equals approximately 0.02857. To calculate probability within a specific weight range, divide the size of this range by the total range.

Explanation:

In this question, the weights of pallets are uniformly distributed between 100 and 135 lbs. This means that any single weight within this range is equally likely to be selected. Therefore, the probability for any specific weight in this range is given by the formula:

1 / (Range of values)

In this case, the range of values is 135 - 100 = 35. So, the probability of randomly picking a package of any particular weight is 1/35 or approximately 0.02857. However, if we want to calculate probability within a certain weight range, say, between 110 to 120 lbs, then we would divide the size of this range by the total range. Thus, the probability would be 10/35 = 0.2857, which is approximately 28.57%.

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