Chapter 11 Data Analysis and Statistics - 11.2 Apply Transformations to Data - 11.2 Exercises - Mixed Review - Page 755: 34

See below

The probability of tossing a coin 30 times and getting 14 heads can be found by applying: $P(X=14)=_nC_k p^k (1-p)^{n-k}\\=_{30} C_{14} 0.5^{14}(1-0.5)^{30-14}\\=\frac{30!}{(30-14)!.14!}\times0.5 ^{30}\\=0.13544$