Final answer:
To find the mean µ, we can use the z-score formula. The probability that X exceeds 7.5 is 0.8023, which means the probability that X is less than or equal to 7.5 is 0.1977 (1 - 0.8023). Using the z-score formula, we can find the z-score corresponding to a probability of 0.1977.
Step-by-step explanation:
To find the mean µ, we can use the z-score formula. The probability that X exceeds 7.5 is 0.8023, which means the probability that X is less than or equal to 7.5 is 0.1977 (1 - 0.8023). Using the z-score formula, we can find the z-score corresponding to a probability of 0.1977.
z = (X - µ) / σ
0.1977 = (7.5 - µ) / 2
After solving for µ, we find that µ is equal to 4.8.