(8) Interpret the following relations involving events A, B, and C ??? (a) ABA (b) ABC-...
3. Let A and B be events. Show that P(AB(AUB)) P(ABA). When does equality hold?
7. Jake's Market recorded the following events involving a recent purchase of merchandise: Received goods for $60,000, terms 2/10, n/30. Returned $1,200 of the shipment for credit. Paid $500 freight on the shipment. Paid the invoice within the discount period. As a result of these events, the company's inventory increased by a. $57,624. b. $57,924. c. $58,124. d. $59,300. 8. Sunland Company reported the following balances at June 30, 2018 Sales Revenue Sales Returns and Allowances Sales Discounts Cost of...
O PROBABILITY Probabilities involving two mutually exclusive events Events A and B are mutually exclusive. Suppose event A occurs with probability 0.03 and event B occurs with probability 0.02. a. Compute the probability that A does not occur or B does not occur (or both). b. Compute the probability that neither the event A nor the event B occurs. (If necessary, consult a list of formulas.) 6 2
please answer 17c and 17d.
17. Show that the following Post correspondence systems have no solutions. a) [b, ba], [aa, b], [bab, aa], [ab, ba] b) [ab, a]. [ba, bab], [b, aa], [ba, ab] c)lab, aba] lbaa, aa]. [aba. baal (dy [ab, bb], [aa, ba]. [ab, abb]. [bb, bab] e) [abb, ab], [aba, ba], [aab, abab]
17. Show that the following Post correspondence systems have no solutions. a) [b, ba], [aa, b], [bab, aa], [ab, ba] b) [ab, a]. [ba,...
In Triangle ABC, if a = 6, b = 8, and <C = 60°, find the area of the triangle. 12 O 7.2 41.57 20.78
For the following grammar (7 points) 1. B - Ba|A S - ABb A - Aba |A to find a grammar without A productions that generates the same language, we first identify non-terminals that drive A. These non-terminals are: A and B. Then from S - ABb, we construct S from A - Aba, we construct A - from B - Ba, we construct B - So, the grammar without A that generates the same language is:
8. [10 pts.] Use the following Venn diagram defines the events A, B, and C, where the numbers in each region represent the total amount of outcomes in that region. 1 7 a. Determine the number of outcomes in ANBNC. b. Determine the number of outcomes in (ANB)' = C. Find P (AN(BUC)). = d. Find P(BIA). e. Are the events A and C independent? Explain.
B. Consider the following two relations: Relation r Relations R Р 10 В a b 5 8. B b c A 10 25 10 C 6 3 5 15 25 a 6 show the results of the following relational algebraic operations. Give 0 as your answer if you think the operation makes no sense. However, if you believe an operation makes sense but no tuples should be returned, you should still draw the schema of the resulting table. n. r^r.p=s.A...
2. Express each of the following events in terms of the events A, B, and C, and the operations of complementation, union, and intersection: (a) at least one of the events A, B,C occurs; (b) at most one of the events A, B, C occurs; (c) none of the events A, B, C occurs; (d) all three events A, B, C occur (e) exactly one of the events A, B, C occurs; (f) events A and B occur, but not...
For the following relations and set of FDs: 1. give a key for the relation; 2. state whether the relation is in BCNF, and if it is not state why: 3. give a set of relations in 3NF equivalent to the original relation 1. (33 points) What is the closure of (A,B) with respect to R(A,B,C,D,E,F,G)if R has the following functional dependencies? (a) GCDE AF BF - ABC FC G (b) D-AC-D A+B ABC 2 33 points for each of...