Question

the consista professional s Find the probability that the number who consider themselves basebal l eacty 179% of men consider themselves professional basebalus. You randomly select 10 men and five, a n d less than (a) Round to live dec e s as needed) D) P - Round to three decimal places as needed) Round to three decimal places as needed 4)

Answer 1

X: Number of- baseball fans. X NB (n=10, p=0.42) ; q=1-P=0.58 pmf of Binomial distribution is, P [x=x] = m). p. qnx ; x = 0,1,2,...,n q=1-P ow 9) P(x=s) = (°) (0.423960.58) 10-5 P(XES) = 0.216) b) P(X2,6) = P(x=6) +P (X=7) +P(x=8)+P(x=9) +PCX=10) = (6)0:43)*65829 +69264277(0:58) (50) 6-42786.58) + (*)(0-4230 (0:58)'+ (13) (0:42)*(0.58) E 0.13out 0.0539 + 0.0146 + 0.0023 7 0.00012 P(x2,6)= 0. 201

S P ( x<4)=P(x=0)+ P(x2))+ P(x-2) + P(X=3) = ('3)0423° 0.583.0+(10) 6.423) (0-48)+ 099(0.42326558) 8+ (70) (0.427°(05877 0.0312 + 0.1016 +0.1963 = TP (X(4) = 0.0043 + 0.333
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