A 0.2 В 0.5 0.1 Given the events A and B above, find the following probabilities...
0 en the events A and B above, find the following probabilities P[ not (A or B)) P(A or B)- P(A and not B) P(A or B but not both) Are events A and B independent (why P(B and not A)- P( not A) or why not) Are events A and B mutually exclusive (why or why not) GRB 4/4/2019 Math 121 HW 6- Probability Rules
2. Using the below table: A A2 0.3 В В 0.4 0.2 0.1 08 a. Compute P(A; or B1). b. Compute P(A) or B2) c. Calculate the marginal probabilities from the following table of joint probabilities. d. Detemine P(A | B1). e. Determine P(A2 B1). f. Did your answers to parts (a) and (b) sum to 1? Is this a coincidence? Explain. g. Calculate P(A; | B2) h. Calculate P(A2| B1). i. Are the events independent? Explain. bivong slde glT8...
9. Given: Independent events E, Ег. Ез and probabilities: P(B)-0.1, P(E)-ΟΙ 5, P(E)-02. Find the probability of the union of events E, E, and E that is P(s) Pr(E, UE,UE,). Find the intersection of events E, and E2 PE, E, ) . Answer on reverse side of paper.
3. (20 points) Let A, B, and C be 3 events with probabilities given in the figure below. Find P(AlBc n C) 0.20 0.1 凸 0.1 0.2
(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
Consider three random events, A, B and C. Suppose that P(A) = 0.5, P(A∩C) = 0.2, P(C) = 0.4, P(B) = 0.4, P(A∩B∩C) = 0.1, P(B∩C) = 0.18, and P(A∩B) = 0.21. Calculate the following probabilities: c. P((B∩C)c ∪(A∩B)c)
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)?
For two events, A and B, P(A)=0.2, P(B)=0.5 and P(A|B=0.2. a. Find P(A∩B)= b. Find P(B|A).=
e 1 2 لنا 4 5 P(0.3 0.1 0.1 0.3 0.2 A pointer is spun once on a circular spinner. The probability assigned to the pointer landing on a given integer (from 1 to 5) is given in the table on the right. Given the following events, complete parts (A) and (B) below. E = pointer lands on an even number F = pointer lands on a number less than 4 (A) Find P(FIE). (Type an integer or a decimal...
SPS PP) 0.5 0 0.1 0.0 0.4 P(P 0.3 0.1 0.2 0.8 Above table shows probabilities regarding customers' soda and popcorn purchases at a movie theater. 13-What is the probability a randomly selected customer will purchase soda, L.e. P(S)? 14-What is the probability a randomly selected customer will purchase popcorn, i.e. P(P)? 15-What is the probability a randomly selected customer will not purchase soda? 16-What is the probability a randomly selected customer will not purchase popcorn? 17-What is the probability...