# Answer in Statistics and Probability for Flyyboyy #244353

“p=0.35 \\nn=40 \\nq=p-1 = 0.65 \\nP(X=x) = C^n_x p^x q^{n-x} \\na) \; P(Xu226415) = \sum^{15}_{x=0} C^{40}_x (0.35)^x (0.65)^{40-x} \\nP(Xu226415) = 0.6946 \\nb) \; P(12<X<18) = \sum^{17}_{13} C^{40}_x (0.35)^x (0.65)^{40-x} \\n= \sum^{17}_{x=0} C^{40}_x (0.35)^x (0.65)^{40-x} – \sum^{12}_{x=0} C^{40}_x (0.35)^x (0.65)^{40-x} \\ n= 0.8761-0.3143 \\n= 0.5618 \\nc) \; Mean = np = 40 \times 0.35 = 14 \\nP(X=14) = C^{40}_{14} (0.35)^{14} (0.65)^{26} \\nP(X=14) = 0.1313”

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