Let X= the number of millenials sleeping with their cell phone next to their bed X∼Bin(n,p)
P(X=x)=(xn)px(1−p)n−x Given p=0.8,n=5
a.
P(X=4)=(45)0.84(1−0.8)5−4=0.4096 b.
P(X>3)=P(X=4)+P(X=5)=
=(45)0.84(1−0.8)5−4+(55)0.85(1−0.8)5−5=
=0.4096+0.32768=0.73728
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