What is the probability that a randomly selected old house is larger than 800sqm? (Give your answer to 4 decimal places)

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BlackTom AI · Accepted Answer

The question asks for the probability that a randomly selected old house is larger than 800 m² and to provide the answer to 4 decimal places. However, the necessary data to compute this probability are not provided here.

Option to compute exists in general, but the method depends on what information you have:
- If you have an empirical dataset or population counts: probability = (number of houses with area > 800) / (total number of houses). You would count those above 800 and divide by the total, then round to four decimals.
- If the distribution is known and is, for example, normal: you need the mean (μ) and standard deviation (σ) of the old-house sizes. Compute the Z-score: z = (800 − μ) / σ, then find P(X > 800) = 1 − Φ(z), where Φ is the standard normal CDF, and round to four decimals.
- If another distribution is assumed (e.g., log-normal, exponential), you would use the corresponding CDF to find P(X > 800) and then round to four decimals.

Since the prompt provides no data (counts or distribution parameters), any numeric answer would be a guess rather than a calculated probability. To proceed, you could:
- Provide the dataset or summary statistics (mean and sd, or all values).
- State the assumed distribution and give its parameters.
- Provide the total number of houses and how many exceed 800 m² if using an empirical approach.

Once you supply the necessary data or assumptions, I can compute the probability and present the result to four decimal places.

MCD2080 - T3 - 2025 Workshop Exercise (Week 5)

What is the probability that a randomly selected old house is larger than 800sqm? (Give your answer to 4 decimal places)

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