Employment data at a large company reveal that 77% of the workers are married, 39% are college graduates, and that 45% are married, given that they are college graduates. Which of the following statements are true about the events married and college graduate? Choose the correct answer from below and explain why. A. These events are independent events. B. These events are pairwise disjoint. C. A worker is either married or a college graduate always. D. These events are both independent and pairwise disjoin

Q: 2. Draw one card at random from a standard deck of 52 cards. Assume that the cards are equally…

A: A = {x: x is a jack, queen, or king}B= {x: x is a 9, 10, or jack and x is red} C= {x: x is a club}…

Q: a. Cite an example of two mutually exclusive events. b. Is any event mutually exclusive with its…

A: Two events can be said mutually exclusive if they both cannot happen simultaneously. For two…

Q: 4. There are 10 men and 6 women in a high school physics club. Two of them will be randomly selected…

A: Given: Number of men (M) = 10 Number of women (W) = 6 Number people selected = 2

Q: Determine whether events A and B are mutually exclusive. A: Luis has a dog. B: Luis has a cat. These…

A: Given that :  There are two events are given  A : Luis  has a dog.  B : Luis  has a cat.  Now we…

Q: Decide if the events are mutually exclusive. Event A: Randomly select a jack from a standard deck of…

A: Mutually exclusive: The events are mutually exclusive means there are no common elements between…

Q: From the probabilities shown in this Venn diagram, determine the probabilities of the following…

A: Here the given Venn diagram is From the given Venn diagram     P(A)= 0.15+0.20 = 0.35    P(B) =…

Q: Determine whether the events E and F are independent or dependent. Justify your answer. .... (a) E:A…

A: Two events are said to be independent if the occurrence of one has no impact on the occurrence of…

Q: Consider the following events: A={1, 2, 3, 4, 5, 6, 7} B={2, 4, 6} C={1, 3, 5, 7, 9} Select all the…

A:

Q: In a survey, respondents were asked to indicate their favorite brand of cereal. They were only…

A: In a​ survey, respondents were asked to indicate their favorite brand of cereal. They were only…

Q: Which pairs of events are mutually exclusive?  (Use the letter labels in rows and columns.)  Choose…

A: It is given that The total number of students = 178We know that • If two events A and B are mutually…

Q: In an experiment of tossing a coin. If A = getting a head and B = getting a tail. Then A and B are…

A: Given that If a coin is tossed then there are two possible outcomes one is head and second is tail…

Q: Suppose there are 100 students in your accounting class, 10 of whom are left-handed.   Two…

A: 1)The letter R represents right-handed student and L represents left-handed student. The probability…

Q: Let A, B, and C be independent events, and P(A) = 0.25, P(B) = 0.6 and P(C) = 0.7. Find each…

A:

Q: If S = { 1, 2, 3, 4, …….., 100} A = { 2, 4, 6, 8, ………. ,98, 100}            B = { 1, 3, 5, 7, 9,…

A: From the provided information, S = {1, 2, 3, 4, ……., 100} A = {2, 4, 6, 8, ….., 98, 100} B = { 1, 3,…

Q: 31. Find the probability of drawing a king or queen from a standard deck of cards. (ME or NME) *

A: Since, the exact question number is specified, we'll be answering the first question. Please…

Q: Select the events that are dependent. A. Drawing a face card from a standard deck of 52 playing…

A: (a). In such situation the draw of another face card doesn't depend on the previous activity so this…

Q: Are the events “Survived” and “First class” independent? Justify yo

A: Let S be the person who survived. F be the passenger in first class. Condition for Independence:…

Q: An event is the collection of one or more    a. outcomes. b. combinations.    c. probabilities. d.…

A: An event is the collection of one or more Experiment.

Q: Employment data at a large company reveal that 72% of the workers are married, 38% are college…

A:

Q: If two events are mutually exclusive, why is P(A and B) = 0? Choose the correct answer below. O A.…

A: Here We have  Mutually Exclusive Events: The Events which do not occur at same time. i.e they do not…

Q: In this exercise, you examine further the concepts of independent events and mutually exclusive…

A: a)Mutually exclusive eventsTwo events A and B are said to be mutually exclusive if there is no…

Q: Determine whether the following events are mutually exclusive. Explain your reasoning. Event​ A:…

A: Given data Event A: Randomly select a voter who legally voted for                  the president in…

Q: Independent events means disjoint events.

A: Here use definition of independent events and disjoint event  .

Q: Determine whether the following statement is true. If two events are disjoint, they are also…

A: The objective of the question is to determine the validity of the statement: 'If two events are…

Q: According to an airline, a particular flight is on time 88% of the time. Suppose 43 flights are…

A: given data, p(flight on time)=0.88p=0.88q=1-p=1-0.88=0.12x= flight are  on timen=43

Q: independent events.  Determine if the second of two sequential events is independent of the first.…

A:

Q: Let ? and ? be two mutually exclusive events. Given that (?)=0.25 and ?(?∪?) =0.77, determine ?(?).

A: Given: P(A)=0.25 P(A∪B)=0.77

Q: If two events have no outcomes in common, what are they said to be? O A. At odds OB. Conditional C.…

A: if event have no outcomes in common , what are they said to be?

Q: 60% of homeowners in Northern Virginia have a weekly lawn service. Those homes with a lawn service,…

A: From the given information, Consider, A be the event that shows the lawn service and A ' shows…

Q: In a survey, respondents were asked to indicate their favorite brand of cereal. They were only…

A: Independent events : Occurrence of one does not affect probability of occurrence of other event…

Q: I. The events A and B are mutually exclusive. If P(A) = 0.1 and P(B) = 0.3 , what is P(A or B)? II.…

A: 1)i)Events A and B are mutually exclusiveP(A)=0.1P(B)=0.3