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What is the probability that the reaction time is between 6 and 8 minutes?

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Final answer:

To find the probability that the reaction time is between 6 and 8 minutes, we can use the cumulative distribution function (CDF) and the Z-score formula.

Step-by-step explanation:

The probability that the reaction time is between 6 and 8 minutes can be calculated using the cumulative distribution function (CDF) of the reaction time. Let's denote the variable X as the reaction time. Assuming X follows a normal distribution with mean µ and standard deviation σ, we can use the following formula:

P(6 < X < 8) = P(X < 8) - P(X < 6)

Next, we can use the Z-score formula to standardize the values of 6 and 8:

Z1 = (6 - µ) / σ

Z2 = (8 - µ) / σ

Finally, we can use the standard normal distribution table or a calculator to find the probabilities associated with the Z-scores Z1 and Z2 and calculate P(6 < X < 8).

User GreenReaper
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