The probability is high that someone will need a probability assignment sample. Okay, weird puns aside, having a good example of the paper you are working on is known to increase your productivity and final grade. But where can you find qualitative samples for free? The answer is the AssignmentShark blog! We strive to help students all over the world deal with their academic problems easily. First of all, check other samples and articles at our blog for useful writing advice and insights about your homework.

What can you do in case our articles and samples won’t inspire you to work on your own paper? Oh, it’s simple – just place your order using the short form in the upper right corner of the page and let our homework experts deal with your probability assignment. Once you fill in the initial form, you will be taken to the page with an extended form. Specify your instructions about your assignment and upload files which are crucial for the assignment. Now you need to choose the expert you like the most among those who have placed bids beneath your order. You can find more information about each expert at his or her profile page. Check out the sample below and place your order to get a paper that is equal in quality on your specific topic.

The probability of a car on a deserted highway for a 30 minute period is 0.95. What is the probability of its occurrence in 10 minutes?

This question is difficult to answer because the information that we have is not what we would like to have. However, in real life, it is a common situation.

We want to determine the probability relating to 10 minutes, with the probability relating to 30 minutes. We can not just divide 0.95 by three (although some people try to do this). Knowledge about the fact that the vehicle will occur during the 30 minutes does not help much, as this may happen at any time. The car can occur during the first 10-minute interval, or second, or third. During each of these periods we can see two, or five, or a thousand cars, but still, it is considered as the appearance of the car.

What we really want to know is the probability of 0 cars during the 30-minute period. It’s pretty simple to find it. Since there is a chance of 95% that at least one vehicle will occur in 30 minutes, the probability that we won’t see a single car during this time interval must be equal to 0.05.

Three things should happen (or, conversely, should not happen) in order for 0 cars to appear during the 30-minute segment. Firstly, it should not be a single vehicle during the first 10 minutes. Then, it should not be a single vehicle during the second 10 minutes. Finally, it should not be a single vehicle during the last 10 minutes. The question asks the probability of a car for a 10 minute period. Let’s call it x. The probability of the lack of the cars in 10 minutes is equal to 1 – X. We multiply this value by itself three times. It should be equal to 0.05, that is:

Take a cube root from both parts:

Let’s solve this equation for x:

Nobody expects you to find the cube roots in your head. The calculator will tell us that the answer is about 0.63. This result is well founded. The likelihood of a car in the 10-minute period must be less than the probability of its occurrence in a 30-minute period which is equal to 0.95.

In this example, we see that even the most simple problem in the probability theory may be far from what it seems at first glance.

Our whole life submits to the laws of this science, so studying it is a very interesting and useful occupation.