A small college has 800 students, 10% of which are left-handed. Suppose they take an SRS of 30 students. Let X= the number of left-handed students in the sample. What is the probability that more than 7 of the 30 students are left-handed?

A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.