Question

Homework: 9.4 Binomial Probability Score: 0 of 1 pt 4 of 11 (8 complete) 9.4.7-SS A study determined that 4% of children under 18 years old lived with their father only. Find the probability that exactly 2 children selected at random from 16 children under 18 years old lived with their father only. The probability that exactly 2 of the 16 children under 18 years old lived with their father only is Do not round until the final answer. Then found to the nearest thousandth as needed) a boho

Answer 1

Solution :-

Total Children (n) = 16

P = 4% = 0.04

q = 1 - p = 1 - 0.04 = 0.96

Now Probability at X = 2

P ( X = 2 ) = ¹⁶C₂ ( 0.04 )² ( 0.96 )^16-2

P ( X = 2 ) = 120 * 0.0016 * 0.5647

P ( X = 2 ) = 0.108417

Therefore Probability = 0.108417

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