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Doug is going to ride his bicycle 3 , 000 miles across the United States, from coast to coast. He wants to choose the route that will give him the greatest chance of success. Here's what he finds in his research: There have been 2 attempts on the northern route from Maine to Washington. Both of those riders made it 2 , 000 miles and quit in Montana. There have been 19 attempts on the central route from Virginia to California; 9 of those riders didn't make it out of Virginia and the other 10 made it all the way to the Pacific. There have been 32 attempts on the southern route from Florida to San Diego. One of those riders made it the whole way. Another realized he was out of shape, and quit before he even started. The other 30 riders quit somewhere in Texas. They were evenly distributed between 1 , 300 and 1 , 700 miles. For the northern route, the median distance covered will be the mean. For the central route, the median distance covered will be the mean. For the southern route, the median distance covered will likely be the mean.

Sagot :

According to the information provided, the best option for Doug is to use the central route, since it is the one where he has the best chance of finishing his goal and reaching the Pacific Coast.

What is probability?

When we want a specific event to occur or we want to carry out a challenge, we must evaluate if it is really possible or not and what are the chances of completing it successfully.

Probability can be measured as follows:

  • Number closer to 0 represents lower probability.
  • Number closer to 1 represents higher probability.

What should Doug do to find out the probabilities of each round?

To know the probabilities of success in each round we must divide the number of successful attempts in the total number of attempts as shown below:

North Route:

  • 0 ÷ 2 = 0

Center Route:

  • 10 ÷ 19 = 0.52

South Route:

  • 1 ÷ 32 = 0.03125

Based on the above, we can infer that the best option for Doug is to take the central route because he has a higher probability of success in this route.

Learn more about probability in: https://brainly.com/question/8069952