China's birth rate has declined, and the population of China is falling and aging rapidly. Concerned about the long-term impact, the CCP is implemented several policies to increase the birth rate. A poll asked the question of young Chinese nationals, ages 20-29, "What do you think is the ideal number of children for a family to have?" Gallop sampled 1020 randomly selected youg Chinese nationals to study opinions regarding this question. In answering the questions below, assume the population proportion answering that zero children is ideal is 0.45.

(a) What is the probability that the sample proportion falls between 0.38 and 0.44? Include a graph with your answer