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2. A recent national study showed that approximately 45% of college students binge drink. Find the probability among 8 random
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Answer #1

P( a student binge drink) = 0.45 = p

n=8

Let X be the number of student who binge drink

X~ Bin( n=8, p=0.45)

a) P( X =4) = 8C4 (0.45)4 (1-0.45)4

=0.2627

b) P( X>=6) = P(X=6) + P(X=7 ) + P(X=8)

=  8C6 (0.45)6 (1-0.45)2 + 8C7 (0.45)7 (1-0.45)1 + 8C8 (0.45)8 (1-0.45)0  

= 0.0884

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