1. Let X be a nonempty set of sets. Prove that P(UX) = U{P(A)| A e X} if and only if UX E X.
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Q: What is the probability of getting an even when you roll a die? a. 1/3 b. ½ c. ¼
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A: Here AS PER NOTE GIVEN I HAVE CALCULATED A PART
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Q: Find the confidence level related to the critical value z2=2.2 O 97.2% O 2.8% O 89% O 98.8%
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A: Here use hypergeometric distribution
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A: We have given that p = 35% = 0.35 n = 200
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A: From the provided information,
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A: Given that p =0.4 , n=5,k=1
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- Label each of the following statements as either true or false. Let f:AB where A and B are nonempty. Then f1(f(T))=T for every subset T of B.Label each of the following statements as either true or false. Let f:AB. Then f(A)=B for all nonempty sets A and B.Let f:AA, where A is nonempty. Prove that f a has right inverse if and only if f(f1(T))=T for every subset T of A.
- In Exercises , prove the statements concerning the relation on the set of all integers. 18. If and , then .Label each of the following statements as either true or false. The least upper bound of a nonempty set S is unique.Label each of the following statements as either true or false. 3. Let where A and B are nonempty. Then for every subset S of A.
- 26. Let and. Prove that for any subset of T of .For each of the following parts, give an example of a mapping from E to E that satisfies the given conditions. a. one-to-one and onto b. one-to-one and not onto c. onto and not one-to-one d. not one-to-one and not ontoLabel each of the following statements as either true or false. Every upper bound of a nonempty set is a least upper bound.