Suppose we have two events A and B. Suppose further that P(A) - 0.1, PB)-0.2, and...
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A)= 0.30 and P(B)= 0.40. Assume that we have two events, A and Br that are mutually exclusive. Assume further that we know P(A) 0.30 and PCB 0.40 If an amount is zero, enter "0". a. What is P(An B)? b. what is p(AIB? C. Is AIB) equal to A)? Are events A and B dependent or independent? d. A student in...
Suppose that P(A)0.5, P(B)0.2, P(C) 0.3, P(AnB) 0.1 and P(AnC) 0.1. Compute the following: (a) (2 points) P(AUB) b) (6 points) P(A UC) (c) (4 points) Are the events A and B independent? What about A and C? (d) (8 points) If the sets B and C are mutually exclusive sets, what is P(A U B U C)?
31. Assume that we have two events, A and B. that are mutually exclusive. Assume further that we know P(A) 30 and P(B) a. What is P(A n B)? b. What is P(A I B)? c. 40. A student in statistics argues that the concepts of mutually exclusive events and inde- pendent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this...
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.
Q1) Consider two events P and Q. a. Write the general formula used to calculate the probability that either event P occurs or Q occurs or both occur. b. How does this formula change if: i. Events P and Q are disjoint (i.e., mutually exclusive of each other). ii. Events P and Q are nondisjoint events that are statistically independent of each other. iii. Events P and Q are nondisjoint events that are statistically dependent of each other. Q2) Rewrite...