Question

A university Warehouse has received a shipment of 25 printers of which 10 are laser printers and 15 are inkjet models. If 6 of these 25 are selected at random to be checked by a technician… What is the probability that exactly 3 of those selected are laser printers?

Answer 1

To find the probability that exactly 3 of the selected printers are laser printers, we can use the concept of binomial probability. The formula for binomial probability is explained in detail in the answer.

Step-by-step explanation:

To find the probability that exactly 3 of the selected printers are laser printers, we can use the concept of binomial probability.

The formula for binomial probability is P(x) = C(n,x) * p^x * (1-p)^(n-x), where C(n,x) is the number of combinations, p is the probability of success, and n is the total number of trials.

In this case, there are 25 printers in total, with 10 laser printers and 15 inkjet models. Therefore, the probability of selecting a laser printer is p = 10/25 = 0.4. Since 10 printers are laser printers, the probability of not selecting a laser printer is 1 - p = 0.6.

To find the probability of exactly 3 laser printers, we can use the formula:

P(x = 3) = C(6,3) * (0.4)^3 * (0.6)^(6-3) = 20 * 0.064 * 0.216 = 0.276.