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.-Huu-.vu a...\" one.\" .9 HH-vunwvv - \\.- u, u u . , a; 5. Let X1 = [0, 5), X2 = [2:4]: X3 = (l,3], and X4 = (3, 5) be intervals in 'R. Find each of the following sets. Find the following 6. How many distinct ordered sets of (2:1, 32, :03, 34) are there where $1 + as; + :33 + $4 = 144, given that $16 0,1,2,3,4,...,144, m2 6 1,2,3,4,...,144, 333 E 2,3,4,...,144, 4 E 3,4,...,144 7. A pet shelter takes in cats, dogs, rabbits, and ferrets. Here is the record of the number of adoptions they have had in from the years 2015-2021. Year / Species Cat Dog Rabbit Ferret Annual Adoptions 2015 42 38 15 11 106 2016 53 51 6 15 125 2017 61 62 14 5 142 2018 55 65 5 16 141 2019 81 61 25 22 189 2020 324 425 75 86 910 2021 172 166 36 46 420 Species Adoptions 788 868 176 201 2033 For the following questions assume that, from the 2033 pets, one is selected at random. Also assume that every pet is adopted exactly once and belongs to exactly one species. 2 (a) What is the probability that a randomly selected pet is a rabbit? (b) What is the probability that a randomly selected pet was NOT adopted in 2020'? (c) What is the probability that a randomly selected selected pet is a dog and adopted in 2019 or later? (d) Given that a randomly selected pet was adopted in 2021, what is the probability that it was a ferret? (e) Given that a randomly selected pet was NOT a eat, what is the probability that it was adopted in 2015? (f) Given that a randomly selected pet is a eat, what is the probability that it is a dog