Correct Answer: Option D

Explanation

P(farmer parent) = \(\frac{7}{10}\) = 0.7

P(non- framer parent) = 1 - 0.7 = 0.3

Using, \(_x^nC p^x q^{n - r}\)

for 12 students, the probability that 8 of their parents will be farmers is:

P\(_8\) =  \(_x^nC p^x q^{n - r}\) =  \(_8^{12}C (0.7^8 (0.3)^{12 - 8}\)

P\(_8\) = \(\frac{12!}{8!4!}\)(0.7)\(^8\)(0.3)\(^4\) = 0.2311

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