Question

Shipping constitutes a large part of the budget for online retailers. One such retailer ships fragile items that occasionally get broken and have to be replaced/re-shipped. Historically, 7% of these items have gotten broken during shipping.

If an item is shipped, what is the probability that it does not get broken? In other words, what is P(not broken)? Express your answer as a decimal rounded to two decimal places.

Answer 1

The probability that an item does not get broken during shipping is calculated by subtracting the probability that it does get broken (0.07) from 1, resulting in a probability of 0.93.

Step-by-step explanation:

The question you've asked concerns the probability of an item being shipped without getting broken. Given that historically, 7% of these fragile items have been broken during shipping, we can calculate the probability of an item not getting broken. To find the probability of an event not occurring, we subtract the probability of the event occurring from 1. In this case, the event is an item getting broken, which has a probability of 0.07.

The probability of an item not getting broken during shipping would be calculated as follows:

1 - Probability of getting broken
= 1 - 0.07
= 0.93

So, the probability that an item does not get broken during shipping is 0.93, which, when expressed as a decimal rounded to two decimal places, remains 0.93.