Show that AUB= (A B A BU(BA). Show also that these three sets are mutually exclusive.
Question 5 1 pts If A and B are mutually exclusive events, then P(AB) = P(AUB) Not enough information to answer the question O False O True
please fast and clear Let A and B are mutually exclusive with P(BC)=1, P(AUB) Find P(A). Select one: 1/2 3/28 17/28 3/7 O 3/4
1. Show that if A and B are countable sets, then AUB is countable. 2. Show that if An are finite sets indexed by positive integers, then Un An is countable. 3. Show that if A and B are countable sets, then A x B is countable. 4. Show that any open set in R is a countable union of open intervals. 5. Show that any function on R can have at most countable many local maximals. Us
2. Suppose that P(A) 0.5, P(B)0.3, P(C) 0.25, P(AUB)0.8, P(A uC) 0.70, P(B U C) 0.40 a. Compute P(B'). b. Compute P(An B), and use the result to determine if A and B are mutually exclusive. Determine if A and C are mutually exclusive. Explain briefly. Describe in simple words what (A U BU C)'represents. Determine PI(A U Bu C)']. (Hint: Determine first P(B n C).) c. d.
Events A and B are mutually exclusive. Which of the following statements is also true? a. P(A ∩ B) = P(A) + P(B) b. A and B are also independent c. P(A U B) = P(A)P(B) d. P(A U B) = P(A) + P(B)
Three mutually exclusive projects are being considered: A B C Initial cost $100 $150 $200 Annual benefit $10 $17.62 $55.48 Useful life. infinite 20 years 5 years Construct a choice table for interest rates from 0%-100%. Also – provide a plot of either PW or EAW as a function of i. b. The firm wants 8% rate of return on investments. Which equipment should be purchased?
QUESTION If A and 8 are two mutually exclusive events and P(A) -0.5 and P(B) -0.3, then the probability of joint event AU 8 should be QUESTION 2 Does the following Venn Diagram correctly describe the event (AUB)nC O True False
It is true to find two mutually exclusive sets that share exactly one common element. True or False
Determine whether these two events are mutually exclusive: someone with three sisters and someone with four siblings. not mutually exclusive mutually exclusive
(1 point) If P(A) = 0.1, P(B) = 0.1, and P(AUB) = 0.2, then P(An B) = 0.8 (a) Are events A and B independent? (enter YES or NO) NO (b) Are A and B mutually exclusive? (enter YES or NO) YES