A real number between 2 and 7 will be picked according to the probability distribution shown in the figure. Regions under the curve are labeled with $A, B$, and $C$. The area of each region is shown in the table. Use the figure and the table to answer the parts below. (a) Find the probability that a real number between 4 and 6 is picked. (b) Find the probability that a real number between 4 and 7 is picked. \begin{tabular}{|cc|} \hline Region & Area \\ \hline$A$ & 0.32 \\ $B$ & 0.56 \\ $C$ & 0.12 \\ \hline \end{tabular}

Step 1 ：Given the areas of regions A, B, and C as 0.32, 0.56, and 0.12 respectively, the total area under the curve is 1.0.

Step 2 ：For part (a), the range of real numbers between 4 and 6 falls within region B. Therefore, the probability is the area of region B divided by the total area, which is 0.56.

Step 3 ：For part (b), the range of real numbers between 4 and 7 falls within regions B and C. Therefore, the probability is the sum of the areas of regions B and C divided by the total area, which is 0.68.

Step 4 ：Final Answer: \(\boxed{0.56}\) is the probability that a real number between 4 and 6 is picked.

Step 5 ：Final Answer: \(\boxed{0.68}\) is the probability that a real number between 4 and 7 is picked.