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:

good bye

step-by-step explanation:

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.