Z = $Y$ $X_1$ + $(1-Y)$ $X_2$. where Y is a Bernoulli random variable. Calculate characteristic function of Z

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Let Z = $Y$ $X_1$ + $(1-Y)$ $X_2$, where Y is a Bernoulli random variable. Y is independent of $X_1$ and $X_2$. Find the characteristic function of Z.

It's posible calculate the characteristic function of Z whithout know $X_1$ and $X_2$? How?