Step 2
Refer to the following values determined in the previous step.
$N = 60$, $M = 35$, $n = 14$, $x = 9$
The hypergeometric formula is displayed below for reference.
$\binom{M}{x}\binom{N - M}{n - x}$
$P(X = x) = h(x; n, M, N) = \frac{\binom{M}{x}\binom{N - M}{n - x}}{\binom{N}{n}}$
Use the values in the hypergeometric formula below to calculate the probability that exactly 9 of the first 14 graded projects are from the second section,
rounding the result to four decimal places.
$P(X = 9) = h(9; 14, 35, 60) = \frac{\binom{35}{9}\binom{60 - 35}{14 - 9}}{\binom{60}{14}}$
$= 0.2382$
