TRUE OR FALSE
_______23. Events are independent when the occurrence of one event has no effect on the probability that another will occur.
_______24.The P(x) is always 0 ≤ P(x) ≤ 1.
_______25. The mean of the discrete probability distribution for a discrete random variable is called its expected value
23. True, two events are said to be independent when the occurrence of one event has no effect on the probability that another will occur.
24. True, the value of the probability always lies between one and zero and it can also take values zero and one.
25. True, the expected value of the variable is the mean of that variable.
TRUE OR FALSE _______23. Events are independent when the occurrence of one event has no effect on the probability that...
True or False With explanation please. 1- True or false: a. If A is an event of a sample space with P(A)-P(AS), then P(A)-0.5 b. Under certain conditions, it is possible that the sum of the probabilities of all the sample points in a sample space is less than one P(A or B)-P(A)+P(B) P(A and B) P(A).P(B) by its own probability and then adding all the products together; that is P deviation of σ. If x is converted to the...
If events A and B are independent, then the probability of simultaneous occurrence of event A and event B can be found with ____________. P(A)·P(B) P(A)·P(B|A) P(B)·P(A|B) All of these choices are correct.
True or False With explanation please. e. If two events are mutually exclusive, they are àl f. The mean of a discrete random variable X is penide found by multiplying each possible value of X by its own probability and then adding all the products together; that is XPO g. Two events A and B are said to be independent if P(A and B)y- PIA)-P(B) h. Assume that X is a normally distributed random variable with a mean ofμ and...
8) (10 points) Determine if the following are true or false. If false, explain why or give an example to counter the false statement. a) Two events are disjoint if the occurrence of one does not affect the other. b) It is not possible to get a probability of exactly 0. c) Drawing without replacement is an example of dependent events. d) It is possible to have both a disjoint event and an independent event. e) The standard deviation of...
Two events, A and B, are mutually exclusive and each has a nonzero probability. If event A is known to occur, the probability of the occurrence of event B is A.One B.Any positive value C.Zero D. Any value between 0 to 1 Suppose that the probability of event A is 0.2 and the probability of event B is 0.4. Also, suppose that the two events are independent. Then P(A∩B) is: a.P(A) = 0.2 b. P(A)/P(B) = 0.2/0.4 = 0.05 c....
True or False (a) If X ∩ Y = ∅ then the two events X and Y are independent? (b) If event X is independent of event Y, then X^c is independent of Y? (c) For a discrete random variable X, we have limx->∞ pX(x) = 0? (d) For a continuous random variable X, we have limx->∞ fX(x) = 0? (e) For a continuous random variable X, we have limx->0 fX(x) ≤ 1? (f) For two discrete random variables X...
6. Determine whether each of the following is true or false (note: the statement is true if it is always true, otherwise it is false). If you say it is true then refer to a known result or give a proof, while if you say it is false then give a counterexample, i.e., a particular case where it fails. (a) If A, B and C are independent, the Pr(AlBnc)- Pr (A) (b) The events S., A are independent (S is...
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...
Part I: Determine whether each of the following statements is TRUE or FALSE, and write a short explanation for your answer The mean and median are always equal to each other and can never be different. The median and mode must always be equal and can never be different. The expected value of a random variable is a weighted average of outcomes, where each outcome is weighted by its probability of occurrence. Regressions are used to estimate the relationship between...
Events A and B are independent. Suppose event A occurs with probability 0.32 and event B occurs with probability 0.20. a. If event A or event B occurs, what is the probability that both A and B occur? b. If event A occurs, what is the probability that B does not occur? Round your answers to at least two decimal places. (If necessary, consult a list of formulas.) X 5 ? b. Events A and B are independent. Suppose event...