g When a customer places an online order with Amazon, a computerized accounting information system (AIS) automatically checks to see if the customer has exceeded his or her credit limit. Past records indicate that the probability of customers exceeding their credit limit is 0.05. On a given day, 20 customers place orders. Assume that the number of customers that the AIS detects as having exceeded their credit limit is distributed as a binomial random variable. What is the probability that at least two of the customers exceed their limit

The probability that at least two of the customers exceed their limit is 0.2642.

Step-by-step explanation:

We are given that Past records indicate that the probability of customers exceeding their credit limit is 0.05.

On a given day, 20 customers place orders.

Let X = the number of customers who exceed their credit limit

The above situation can be represented through binomial distribution;

where, n = number of trials (samples) taken = 20 customers

            r = number of success = at least two

            p = probability of success which in our question is the probability 

                  of customers exceeding their credit limit, i.e; 0.05.

So, X ~ Binom(n = 20, p = 0.05)

Now, the probability that at least two of the customers exceed their limit is given by = P(X 2)

        P(X 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)

=  

=  

=  0.2642

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.