Explanation

This question appears to be incomplete as it references statements I, II, III, and IV but only shows statement IV. Based on standard probability theory:

• Statement IV is true: The product of two independent lognormal random variables is also lognormal. This is because if X ~ lognormal(μ₁, σ₁²) and Y ~ lognormal(μ₂, σ₂²) are independent, then ln(X) ~ N(μ₁, σ₁²) and ln(Y) ~ N(μ₂, σ₂²). The product XY has ln(XY) = ln(X) + ln(Y) ~ N(μ₁ + μ₂, σ₁² + σ₂²), which is normally distributed, so XY is lognormal.

Without seeing statements I, II, and III, we cannot determine which combination is correct. However, since only statement IV is shown and it's true, and option C includes IV, this appears to be the intended answer.