Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a given day, 20 online retail orders are placed. Assume that the number of online retail orders that turn out to be fraudulent is distributed as a binomial random variable, what is the probability that two or more online retail orders will turn out to be fraudulent

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

Step-by-step explanation:

We can model this with a binomial random variable, with sample size n=20 and probability of success p=0.08.

The probability of k online retail orders that turn out to be fraudulent in the sample is:

We have to calculate the probability that 2 or more online retail orders that turn out to be fraudulent. This can be calculated as:

The probability that there are 2 or more fraudulent online retail orders in the sample is 0.483.

Second option.

Step-by-step explanation:

A dilation is defined as a transformation in which the image has is the same shape as the pre-image, but has a different size.

We know that the endpoints of A'B' are:

Observe the first figure attached. You can see thatt A'B' has a lenght of 2 units.

 Since we know that the center of dilation is at  and we also know that A'B' is obtained by dilating AB by a scale factor of , we can say that:

As you can observe in the second figure attached, since the lenght of AB is 4 units, the coordinates of the the points A and B are: