1. The problem states that the probability of the spinner landing on a striped section is $\frac{7}{10}$. We want to find the expected number of times it lands on a striped section in 40 spins. 2. The expected value in probability is calculated as the probability of an event multiplied by the number of trials. Here, the event is landing on a striped section, and the number of trials is 40. 3. Calculate the expected value: $$\text{Expected times} = 40 \times \frac{7}{10}$$ 4. Simplify the multiplication: $$40 \times \frac{7}{10} = 40 \times 0.7 = 28$$ 5. So, if the spinner is spun 40 times, we expect it to land on a striped section 28 times on average.