If two events with positive probabilities are mutually exclusive, they cannot be statistically independent. True False

Q: Two events, A and B, are mutually exclusive and each have a nonzero probability. If event A is known…

A: Two events are said to be mutually exclusive events if they cannot occur at the same time. For two…

Q: If two balanced dice are rolled, what is the probability that the sum of  two numbers that appear…

A:

Q: If a family has four children, is it more likely they will have two boys and two girls or three of…

A: Let X=the number of boysn=number of trials=4p=probability of success=12=0.5X follows a binomial…

Q: If X and Y are independent, then what is the probability of the event Y > 4X?

A: Iy is given that X follows U(0,1), then pdf of X is f(x) = 1, 0 < x < 1 And Y follows U(0,2)…

Q: Two events, A and B, are mutually exclusive and each has a nonzero probability. If event A is known…

A: Mutually Exclusive events: Events which cannot occurs together are called mutually exclusive events.…

Q: The Heavy Weather Service predicts that for tomorrow there is a 50% chance of tornadoes, a 20%…

A: A = tornadoes B = monsoon

Q: a) Sunny and Rainy are not mutually exclusive but are dependent events

A: [Note: Usually sunny days and rainy days cannot occur at the same time. But in the real world, there…

Q: false

A: In this first statement the statement is true. Reason: Gambling fraud is the belief that the…

Q: If two balanced dice are rolled, what is the probability that the difference between the two numbers…

A:

Q: If two events are mutually exclusive, then they are independent Select one: True False

A:

Q: Two events are considered if the occurrence of one is related to the probability of the occurrence…

A: Solution Two events are considered dependent if the occurrence of one is related to the probability…

Q: If a person tests positive, what is the probability that the person actually has the disease?

A: Let us define some events A : a person has cooties. B : a person does not have cooties. E : a person…

Q: In a certain year, the probability that a person in the United States would declare personal…

A: Solution: Let A be the event that a person in the United States would declare personal bankruptcy…

Q: If two events are mutually exclusive and collectively exhaustive, what is the probability that one…

A: The probability that one of the events occurs is obtained below: Here, the event A and B are…

Q: Suppose we toss a biased coin for which a heads is twice as likely as a tails. If the coin is tossed…

A: Let us assume the probability of getting a tail=x So the probability of getting a head=2x Total…

Q: If a real number x is not a possible value for a random variable x, then it has a probability of…

A: A random variable is a variable that takes numerical values determined by the outcome of a random…

Q: If an event has a 1/50 chance of occurring, what is the probability that the event will occur three…

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Q: Give an example of an event whose probability must be determined empirically rather than…

A: According to the question, we have to wite the examples of an event whose probability must be…

Q: Events are independent if the occurrence of either of them has no effect on the probability of the…

A: Yes,  If the occurrence of one event has no effect on the likelihood of another event, the two…

Q: The probability of an event that is certain to not occur is

A: The objective is know the probability of an event that is certain to not occur.

Q: If the probability of a chance event is 0.82, it is more likely to happen than which of the…

A: You can add as many 0's on the end of a decimal and it will still equal to the same number, as long…

Q: In probability, when two events do not influence each other, they are called ?

A: In probability, when two events do not influence each other, they are called ?

Q: If a pair of dice is tossed 6 times, what is the probability of obtaining of 7 or 11 twice, a…

A: Here, a pair of dice is tossed 6 times. The total number of possible outcomes is 36. The total of 7…

Q: Suppose that A and B are two events. a. What does it mean for event B to be independent of event A?…

A: a. Obtain the meaning of the statement ‘event B is independent of event A’ Two events are said to be…

Q: If two events are independent, what is the probability that they both occur? O 0.5 O 1.00 Cannot be…

A: Introduction: Consider two events, A and B. Independent Events: The events A and B are said to be…

Q: Suppose that you have an intelligent friend who has not studied probability. How would you explain…

A: In probability theory, two events are said to be mutually exclusive if they cannot occur at the same…

Q: If two events are independent then their compliments are also independent. true False

A: Two events are said to be independent if occurrence of one event does not affect the occurrence of…

Q: What does it mean for two or more events to be mutually exclusive?

A: Mutually exclusive eventsTwo events are said to be mutually exclusive if they have no element in…

Q: If you get a positive identification from a caller on this test, what is the probability that he…

A:

Q: What is the relationship between the joint probability and marginal probabilities of two independent…

A: The relationship between the joint probability and marginal probabilities of two independent events…

Q: If there is a 10% chance it will rain each day for the next week, what is the probability that it…

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Q: Are the events "the master's degree holder is a woman" and "the master's degree is in statistics"…

A: Let us define some events A : the master's degree holder is a woman B : the master's degree is in…

Q: If the probability of one event occurring is 1/4 and the probability of another event occurring is…

A: Given Data: P( event 1)=1/4 P( event 2)=1/10   Assuming the both events to be independent

Q: Can an event of probability 0 be an outcome of a chance experiment?

A: Solution-: Can an event of probability 0 be an outcome of a chance experiment?

Q: If two balanced dice are rolled, what is the probability that the difference between the two numbers…

A:

Q: If a member is selected at random from a finite population, probabilities are identical to?

A: If a member is selected at random from a finite population, probabilities are identical to?

Q: What does it mean for two events to be mutually exclusive?

A: Solution: We have to determine what does it mean for two events to be mutually exclusive.

Q: Suppose two events A and B are mutually exclusive. Would A' and B' also be mutually exclusive? If…

A: Mutually exclusive events are those whose outcomes do not have anything in common. That is, they do…

Q: If you sum the probabilities of the possible values of a discrete random variable, the result always…

A: The requirements for a discrete probability distribution are,

Q: Create a scenario from your own experiences that can be used to model a probability problem with…

A: Let there are 10 blue marbles and 10 red marbles in a bag. We draw a marble and notice its color,…

Q: If two events are complimentary what is the probability of P(A and B) ?

A:

Q: Are the events A and B mutually exclusive or not?

A: A={even number}={28} B={multiple of 3}={15, 21, 33}

Q: Are the two events in each scenario mutually exclusive or not? Explain. a) Rolling a sum of 5 or a…

A:

Q: A group of research proposals was evaluated by a panel of experts to decide whether or not they were…

A: Given:  the decision to fund was reversed in 20% of the cases. The probability that a proposal is…

Q: What is the relationship between two events if the conditional probability is equal to the…

A: Given if P(A|B) = P(A)

Q: If a seed is planted, and it has 75% chance of growing into a healthy plant and if 6 seeds are…

A: Given, p=75%=0.75 (Grow as healthy plant) q=1-p=0.25   If n=6 P(X=3) dont grow =?

Q: If two events are mutually exclusive why is P(A and B)=0?

A: Mutually exclusive is a statistical term describing two or more events that cannot happen…