1. Suppose you have just received a shipment of 100 iPads where 7 iPads are defective. To determine whether or not you will accept the shipment, you randomly select 3 iPads and test them. If all 3 of the tablets works, you accept the shipment, if not, you reject it. What is the probability of rejecting the shipment

Step-by-step explanation:

the probability that x iPads are defective in the sample follows a hypergeometric distribution, so it is calculated as:

Where

Because we have a N elements with k elements that are defective and we are going to take a sample of n elements. So, replacing N by 100, k by 7 and n by 3, we get:

Now, the probability of rejecting the shipment is the probability that at least one iPad of the sample is defective, so:

Then:

Finally, the probability of rejecting the shipment is:

the answer is b