An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (1)
The number of apartments with cable on the second floor is 13.
The total number of apartments is 112.
Calculate the probability: 112 13 ≈ 0.116 .
The probability a random apartment has cable and is on the second floor is 0.116 .
Explanation
Understand the problem and provided data We are given a table that shows the distribution of cable connections by floor in an apartment building. The total number of apartments is 112. We want to find the probability that a randomly selected apartment has cable and is on the second floor.
Identify the number of favorable outcomes From the table, we can see that there are 13 apartments that have cable and are on the second floor.
Calculate the probability The probability of an event is the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the number of favorable outcomes is the number of apartments with cable on the second floor, which is 13. The total number of possible outcomes is the total number of apartments, which is 112. Therefore, the probability that a randomly selected apartment has cable and is on the second floor is: P ( " C ab l e an d 2 n d Fl oor " ) = Total number of apartments Number of apartments with cable and on the 2nd floor = 112 13
Convert to decimal To express this probability as a decimal rounded to the nearest thousandth, we divide 13 by 112: 112 13 ≈ 0.116
State the final answer Therefore, the probability that a random apartment has cable and is on the second floor is approximately 0.116.
Examples
This type of probability calculation is useful in market research. For example, a company might want to know the probability that a randomly selected customer subscribes to a particular service and lives in a certain area. This information can help the company target its marketing efforts more effectively. Another example is in urban planning, where knowing the probability of certain housing characteristics can help in resource allocation and infrastructure development.
