Find the indicated binomial probability. Round to five decimal places when necessary.
-A cat has a litter of 7 kittens. Find the probability that exactly 5 of the little furballs are female. Assume that male and female births are equally likely.
A)0.16406
B)0.32813
C)0.00781
D)0.65625

Question

Find the indicated binomial probability. Round to five decimal places when necessary.
-A cat has a litter of 7 kittens. Find the probability that exactly 5 of the little furballs are female. Assume that male and female births are equally likely. 
A)0.16406
B)0.32813
C)0.00781
D)0.65625

Quizplus · Accepted Answer

The probability of exactly 5 females out of 7 kittens, assuming male and female births are equally likely, can be calculated using the binomial probability formula: P(X=k) = C(n, k) * p^k * (1-p)^(n-k), where n=7, k=5, and p=0.5 (probability of a kitten being female). This calculation results in 0.16406.

Find the Indicated Binomial Probability