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Transcription of this question: II.(a)(b)imum mark:The number of cats visiting Helena’s garden each week follows a Poisson distributionwith mean = 0.6Find the probability that(i)(ii)(iii)in a particular week no cats will visit Helena’s garden;in a particular week at least three cats will visit Helena’s garden;over a four-week period no more than five cats in total will visit Helena’s garden;over a twelve-week period there will be exactly four weeks in which at least one catwill visit Helena’s garden.A continuous random variable X has probability distribution function f given by(i)(ii)(iii)otherwiseFind the value of k to six decimal places.Find the value of E (X) .State the mode of X _Find the median of X _

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