You and Morty Matrix are campaigning on the high street for the coming election, handing out leaflets

Question:

You and Morty Matrix are campaigning on the high street for the coming election, handing out leaflets for the "Mathematics Party, because \(2+2=4\) ". You meet 1 sympathizer every 23 minutes. This waiting time is exponentially distributed.

(a) What is the probability that the next sympathizer arrives within half an hour?

(b) What is the probability that 2 sympathizers arrive within half an hour?

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