1. **State the problem:** We have a probability distribution for the rate of return with intervals and their probabilities. We define two events: - Event A: Rate of return will be more than 10%. - Event B: Rate of return will be negative. We need to find the probabilities of these events. 2. **Identify the intervals for each event:** - Event A (rate > 10%): This includes the intervals "10 to 20" and "> 20". - Event B (rate < 0): This includes the intervals "< -10" and "-10 to 0" (since -10 is included and 0 is excluded). 3. **Sum the probabilities for each event:** - For event A: $$P(A) = P(10 \text{ to } 20) + P(> 20) = 0.21 + 0.05 = 0.26$$ - For event B: $$P(B) = P(< -10) + P(-10 \text{ to } 0) = 0.11 + 0.31 = 0.42$$ 4. **Final answers:** - Probability that the rate of return will be more than 10% is **0.26**. - Probability that the rate of return will be negative is **0.42**. These probabilities are already rounded to two decimal places as requested.