A car hire firm has cars which it hires out day by day. The number of demands for a car on each day is distributed as a poison fashion with mean 1.5. Calculate the probability on which (i) neither car is used (ii) more than 2 cars are in used

Q: QUESTION For the relation R defined by A zt, i.e.., the set of all positive integers. We say aRb iff…

A: Consider the provided question,Given aRb if a divides b.And, R defined by A = Z+ that means set of…

Q: Let J={1,2,3,…}, the set of counting numbers and let R be the set of real numbers. Is R-J countable?…

A:

Q: 4 Elephants and frogs, In this problem, A is the set of all animals, E is the set of all elephants…

A: Given that, A is the set of all animals, E is the set of all elephants and F is the set of all frogs…

Q: Prove or disprove: if x is in set B and x > inf(B), then x/2  is in set B.

A: Let B= The set of natural number then  InfB=1 Let x=3 Since x∈B & x>infB.

Q: Proficiency Redos Proficiency #1. [Statements] Which of the following sentences are statements? Do…

A:

Q: Prove that {12a + 25b : a, b ≤ Z} = 2.

A:

Q: Which of the following statements is true: For all integers a, b and c, if (a + b)|c and then a | c…

A: Here, we have to find the true statement from the given four statements. For this, we shall check…

Q: a maximal element but no minimal element. Multiple Choice O о о The set of natural numbers under the…

A: Given : We have a four choices and we have to select one . To Choose: Which choice has maximal…

Q: Let A be a subset of the real numbers. A number s is called a least upper bound for the set A…

A: Since you have posted a multi subparts question according to guidelines I will solve first(a,b,c)…

Q: 11 Let S be the congruent modulo 5 relation on Z , that is m S n → 5|(m – n) . Show the relation S…

A:

Q: Prove T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable set

A: We have to prove the following -   T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable set.

Q: Using equality of sets, prove that (?∩?)′ = ?′ ∪?′

A:

Q: (15 pts) List the triples in the relation {(a, b, c) a, b, c are integers such that 0 < a <b<c<6 and…

A:

Q: Why is the following false? The set (1, 5.2) X [2, 3.14) is open in R X R.

A: Given  S=1,5.2×[2,3.14) in R2 A set is said to be open set if it can be written as finite union of…

Q: A is a finite set such that IP(A)| = 32. What is (A/? ↑ 0 32 05 210 30,440 #3 6 Not enough…

A:

Q: Mathematical logic Logic of statements or propositions. For each of the following conditions, give…

A: Why not something like: a⟹b, ¬a⟹c, b⟹¬a and c⟹a. You get a contradiction if all 4 are true, but any…

Q: applied discret mathes  if |A| = 3, |B| = 2, Then what is the cardinality of the power set of A x B

A:

Q: Find two sets: Find sets A and B such that JA| -4, 8|-6 and JA or B-8. How large is A and B|? 3…

A:

Q: Determine if the following statement is true or not. Let the domain be the set of all integers Z. O…

A: Statements and conclusions

Q: ppose A, B, C are sets. Prove that (AUB) - C = (A-C) U (B-C). oof.

A: