Answer: 31.25%
Two ways to solve this problem:
#1: Use the formula: [tex]P(X=x)={n}Cx_{} *p^{x}*(1-p)^{n-x}[/tex]
#2 Use a graphing calculator and use the function binompdf(n, p, x)
#1: Formula:
[tex]P(X=3)=_{6}C_{3}*0.5^{3} *(1-0.5)^{6-3}=\frac{6!}{3!(6-3)!} *0.5^{3} *0.5^{3}\\=\frac{6!}{3!*3!} *0.5^{3} *0.5^{3}=20*0.125*0.125=0.3125[/tex]
#2: Faster method
binompdf(6, 0.5, 3) = 0.3125
