The amount of time it takes Victoria to solve crossword puzzles can be modeled by a continuous and uniformly distributed random time between 4 minutes and 12 minutes. What is the probability that it will take Victoria greater than 8 minutes (total) for a puzzle that she has already been working on for 7 minutes?

80% probability that it will take Victoria greater than 8 minutes (total) for a puzzle that she has already been working on for 7 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X greater than x is given by the following formula.

Uniformly distributed random time between 4 minutes and 12 minutes.

This means that

What is the probability that it will take Victoria greater than 8 minutes (total) for a puzzle that she has already been working on for 7 minutes?

Already working for 7 minutes, so a is updated to 7.

80% probability that it will take Victoria greater than 8 minutes (total) for a puzzle that she has already been working on for 7 minutes

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