Suppose that a certain unfair coin has a .45 probability of heads on each flip. We want to see how likely it is to pass a test for fairness (i.e. give a false positive). The test is to flip 200 times, and if between 48% and 52% of the flips (inclusive) are heads, the coin will pass the test.

Write an expression using C(N,k) notation for the probability that the unfair coin passes the test. You can just write the first two and last two terms in the sum, with ... in between.

Compute the probability in the previous question, and enter your answer as a decimal (to 4 decimal places).