2. 32 A certain type of electronic component has a lifetime \( X \) (in hours) with PDF given by
\[
f(x)=\left\{\begin{array}{l}
\frac{c}{x^{2}}, x>1000 \\
0, x \leqslant 1000
\end{array}\right.
\]
(1) Find the constant \( c \).
(2) Find \( P(X \leqslant 1800 \mid X>1500) \).
(3) Consider 3 independent electronic components of this type. What is the probability that only one component failed for the first 1500 hours?
