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Salary Probability 77B27D

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Salary Probability 77B27D


1. **State the problem:** We want to find the probability that a randomly selected technician's salary is greater than 80000 given the average salary is 82450. 2. **Identify the distribution:** Typically, salaries are modeled by a normal distribution. However, the problem does not provide the standard deviation or variance, so we cannot calculate the exact probability without this information. 3. **Formula for probability in normal distribution:** $$P(X > x) = 1 - P(X \leq x) = 1 - \Phi\left(\frac{x - \mu}{\sigma}\right)$$ where $\mu$ is the mean, $\sigma$ is the standard deviation, and $\Phi$ is the cumulative distribution function (CDF) of the standard normal distribution. 4. **Explanation:** To find $P(X > 80000)$, we need $\mu = 82450$ and $\sigma$ (standard deviation). Since $\sigma$ is not given, the problem cannot be solved exactly. 5. **Conclusion:** Without the standard deviation or additional data, the probability cannot be determined. **Final answer:** Insufficient information to calculate the probability.