Question

Compute the probabillity of X successes, using the binomial probability formula when n=25, p=0.43, X=15

Choose one answer.
a. 706.4
b. 0.154
c. 0.038
d. 0.002

Answer 1

The formula is\[\binom{n}{X}p^X(1-p)^{n-X}\]so in this case\[\binom{25}{15}(0.43)^{15}(1-0.43)^{10} \approx 0.38.\]