Question

Compute the probability of X successes, using table B in Appendix C in the text book.

n = 15, p = 0.8, X=10

Choose one answer.
a. 0.188
b. 0.103
c. 0.206
d. 0.010

Answer 1

the Binomial Probability distribution =
\[\left(\begin{matrix}n \\ x\end{matrix}\right)\] *(p)^x*(1-p)^(n-x)

where n = number of samples (15)
x = number of successes (10)
p = probability of success (.8)

therefore:
\[\left(\begin{matrix}15 \\ 10\end{matrix}\right)\] *(.8)^10*(1-.8)^(15-10)
= .103