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The time between failures for an electrical appliance is exponentially distributed with a mean of $25$ months. What is the probability that the next failure will not occur before $30$ months have elapsed?

Multiple Choice

$00$:$26$:$18$

in excess of $0\mathrm{.}6$

in excess of $0\mathrm{.}4$ but not in excess of $0\mathrm{.}6$

in excess of $0\mathrm{.}3$ but not in excess of $0\mathrm{.}4$

in excess of $0\mathrm{.}2$ but not in excess of $0\mathrm{.}3$

not in excess of $0\mathrm{.}2$

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