Find the probability of exactly 8 girls in 11 births Assume

Find the probability of exactly 8 girls in 11 births. Assume that male and female births are equally likely and that the births are independent events

Find the probability of exactly 5 girls in 13 births. Assume that male and female births are equally likely and that the births are independent events

Solution

Find the probability of exactly 8 girls in 11 births. Assume that male and female births are equally likely and that the births are independent events

n=11

P=0.5

P(X=x) = (_nC_x) p^x (1-p)^n-x   

P(X=8) = (₁₁C₈) 0.5⁸ (1-0.5)^11-8   

P(X = 8) = 0.080566

Find the probability of exactly 5 girls in 13 births. Assume that male and female births are equally likely and that the births are independent events

n=13

P=0.5

P(X=x) = (_nC_x) p^x (1-p)^n-x   

P(X=5) = (₁₃C₅) 0.5⁵ (1-0.5)^13-5   

P(X = 5) = 0.1571