b Every Friday night I order a delivery takeaway Everythi.pdf

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(b) Every Friday night I order a delivery takeaway. Everything usually goes perfectly, but sometimes things go wrong :(. The food is cold with probability 0.1 . Some part of the order is forgotten with probability 0.2 . The delivery driver gets lost and calls for directions with probability 0.3 . Let Y denote the number of Fridays needed until everything goes perfectly with my order. Assuming that all the events are independent: (i) find the probability that everything goes perfectly on the first Friday night, i.e. that Y=1. (ii) determine the distribution that Y follows. (iii) calculate the probability that Y is a multiple of three..

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