Internet anywhere

In school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that
a) exactly 5 have access to the internet.
b) At least six students have access to the internet

Correct answer:

a =  0.2787
b =  0.3154

Step-by-step explanation:

C5(8)=(58)=5!(85)!8!=321876=56 p=60/100=53=0.6 q=1p=10.6=52=0.4  a=(85) p5 q85=(85) 0.65 0.485=0.2787
C6(8)=(68)=6!(86)!8!=2187=28 C7(8)=(78)=7!(87)!8!=18=8 C8(8)=(88)=8!(88)!8!=11=1  p6=(86) p6 q86=(86) 0.66 0.4860.209 p7=(87) p7 q87=(87) 0.67 0.4870.0896 p8=(88) p8 q88=1 0.68 0.4880.0168  b=p6+p7+p8=0.209+0.0896+0.0168=0.3154

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