The probabilities of the independent events A and B are .3 and .6, respectively. a. What is the probability of A and B? b. What is the probability of A or B? c. What is the probability of A given B? d. What is the probability of B given A? e. What is the probability of neither A nor B occurring?
The probabilities of the independent events A and B are .3 and .6, respectively. a. What...
7. Let X, and X, be indicators of independent events with probabilities 1/2 and 1/3. respectively. a) Display the joint distribution table of X2 + Xs and X - Xs. b) Calculate E(X3 - X) C) Are X and Xs uncorrelated? Prove your answer.
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
3. If PA)-03, P(B) 0.2, P(A and B)-a06, what can be said about events A and B ? A) They are independent. B) They are mutually exclusive. C) They are posterior probabilities. D) None of the above E) All of the above 4. "The probability of event B, given that event A has occurred" is known as a probability A) continuous B) marginal C) simple D) joint E) conditional 5. The expected value of a probability distribution is A. the...
7. If A and B are independent events, then P(A and B) equals a. b. c. P(A) + P(B/A). P(A) x P(B). P(A) +P(B). d. P(A/B) +P(B/A) 8.Which formula represents the probability of the complement of event A? b. 1-P(A) c. P(A d. P(A)-1 9. The simultaneous occurrence of two events is called a. prior probability b. subjective probability c. conditional probability d. joint probability 10. If the probability of an event is 0.3, that means the event has a...
13.If two events A and B are statistically independent, then: a. A's occurrence makes it less likely that B will occur. b. A's occurrence makes it more likely that B will occur c. A's occurrence makes it impossible that B will occur d. A's occurrence has no effect on the probability of B occurring. e. B's occurrence has minimal effect on the probability of A occurring 14.If two events are independent, then: a. they must be mutually exclusive b. the...
1. We roll two fair 6-sided dice. Compute the probabilities of the following events. (a) The sum is at most 6. (b) The sum is more than 6. (c) The sum is at most 6 and at least one die is a 4. 2. Consider the letters a,b,c. Suppose we draw 2 of the letters at random (allowing for repetition). Assume order matters. That is, ab is not the same as ba: Let A : The 2 letters are distinct....
The first procedure of an experiment has two possible results, A and AC with probabilities .6 and 4 respectively. The second procedure of the experiment results in E and EC with probabilities 3 and.7 (if A occurs), and .2 and.8 (if AC occurs). a) Draw a two-staged tree-diagram illustrating the experiment b) Find P(AnE) c) Find P(AnEc) d) Find P(E) e) Find P(EIA), P(ЕсАС) f) Are A and E independent? g) Find P(AJE) The first procedure of an experiment has...
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.
A and Z are independent events. The probability that A occurs is 1/4. What is the probability that either one of the events will occur? A. 1/2 B. 1/8 C. 1/3 D.1/4 E.1/16 <<< is E the answer A and Z are independent events. The probability that A occurs is 1/4. The probability that Z occurs is 1/4. What is the probability that either one of the events will occur? i picked B am I correct A. 1/8 B. 1/16...
6) (10 points) The prior probabilities for events A1 and A2 are P(A1) = 0.40 and P(A2) = 0.60. It is also known that P(A1 or A2) = 1. Suppose P(BA1) = 20 and P(B|A2) =0.05. a. Are A1 and A2 mutually exclusive? Explain. (2 point) b. What is the probability that A1 does not occur? (2 point) C. Compute P(A2 and B) if A1 and B are independent (3 points) d. Compute P(A1 and B) (3 points)