A financial advisor at a financial consulting firm spends time with his investing clients throughout the year. Based on the historical data, he finds that the consulting time T spent with a client can be modeled as a continuous, uniformly distributed random variable, with the minimum value of 50 minutes and the maximum value of 183 minutes. What is the pdf value of this distribution at T=67 minutes?

Q: A financial advisor at a financial consulting firm spends time with his investing clients throughout the year. Based on the historical data, he finds that the consulting time T spent with a client can be modeled as a continuous, uniformly distributed random variable, with the minimum value of 50 minutes and the maximum value of 183 minutes.
What is the pdf value of this distribution at T=67 minutes?

or

Q: Throughout the year, a financial adviser at a financial consulting business spends time with his customers who are investors. The consultation time T with a customer may be represented as a continuous, uniformly distributed random variable with a minimum value of 50 minutes and a maximum value of 183 minutes, he concludes based on the historical data.
At T=67 minutes, what is this distribution’s pdf value?

• 0.9825
• 0.67
• 0.47
• 0.0075
• 0.33
• 0.53

Explanation: The correct answer is 0.0075. This value represents the height of the probability density function at $T=67$ minutes, indicating the density of probability at that point in the context of the overall distribution of consulting times.