The probability that less than 13 students smoke is 8.5×[tex]10^{-4[/tex]
Suppose that 50% of all college students smoke cigarettes
so, the probability of the students smoke cigarettes is
[tex]\frac{50}{100}=\frac{1}{2} \\\\=0.5[/tex]
So, X~B(14, 0.5)
Number of students sample selected randomly is
n = 14
The probability that less than 13 students smoke is
[tex]P(X < 13) = 14C_{13}(0.5)^{13}(0.5)\\=0.00085[/tex]
[tex]= 8.5[/tex]×[tex]10^{-4[/tex]
Therefore the probability that less than 13 students smoke is 8.5×[tex]10^{-4[/tex]
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