6. A family has two children. Suppose that the bird of each child is an independent event and that it is equally likely to be a boy or a girl. Let C denote the event that the family has one boy and one girl. Let D denote the event that the family has at most one girl. Which of the following must be true about events C and D? A. C and D are independents events. B. C occurs given that D does not occur. C. C and D are not independent events. D. C and D are mutually exclusive events

Q: The probability that the oldest is a boy and the youngest is a girl, given that there is at least…

A: Here  Family has 3 children with at least one boy and one girl.

Q: 3) is .6, the probability that B occurs is .3, and the probability that either A or B occurs is .5.…

A: Given P(Ac)=0.60, P(B)=0.30, P(A or B)=0.50

Q: f we define an event a, then there is an event NOT A, that is also called A.  The supplement of A.…

A: The complement of any event A is the event (not A) i.e., the event A does not occur. The vent A and…

Q: A jar of 150 jelly beans contains 20 red jelly beans, 32 yellow, 22 green, 28 purple, 26 blue, and…

A: 1) It is given that B denotes the event of a blue jelly bean. The number of blue jelly beans is 26.

Q: You roll a die. If you roll less than 6, you get to draw one raffle ticket out of a basket with 100…

A: Given that  A = you win the grand prize and B = You roll a 6. There are 6 sides on a die. So the…

Q: Two containers, labeled A and B, are filled with red and blue marbles according to the quantities…

A: Given datacontainer       A         BRed                80       40Blue               20       60

Q: An oil exploration company currently has two active projects, one in Alaska and the other in Texas.…

A: From the given information, Note: Here both the successful of projects are given as Alaska project.…

Q: Find the probability that in a family of three children, there will be a. No boy b. 1 boy c. 2…

A:

Q: 6. Find the probabilities of the in find the probability of the combined event. a. Two dice are…

A:

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: and 4 shows on the black die when a white and a black die are tossed.  2. Andy first selects an…

A: Given: 1. A 3 shows on the white die and 4 shows on the black die when a white and a black die are…

Q: Two dice are tossed once. E1 is the event that the first die equals 4, and E2 the event that the sum…

A: Solution : Given : Two dice are tossed once. ∴ Ω   = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6),…

Q: Which of the pairs of events below is dependent? Select the correct answer below: drawing a 2 and…

A: The dependent events are those events whose outcome depends on one another.

Q: Since events A and B are independent events; Prove that the events depicted in the picture are…

A: Given that the events A and B are independent events.

Q: ability that at least one of the events occur is mutually independent events and that P(A) = 0.3,…

A: It is given that  Red balls = 3 Black balls = 5 Total balls = 8

Q: ement from the box. The probability that the third red ball is the seventh ball drawn is. balls and…

A: It is given that  Red balls = 13 Blue balls = 7 Total balls = 20

Q: Suppose S = {1,2,3,4,5,6,7,8,9,10} and let A = {1,2,3,4,5}, B = {4,5,6,7,8}, and C = {7,9}. Find the…

A: Two events A and B are said to be independent, if P(A and B) = P(A)P(B).

Q: 8. A weather forecast station describes the weather for the day as either fine or wet. If the…

A: From the given data it is clear that there are two states s1 fine next day s2 wet next day…

Q: A particular shoe franchise knows that its stores will not show a profit unless they gross over…

A: The events are: A = A new store grosses over $940,000 its first year. B = A new store grosses over…

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: Select one: a. The events A and B are not mutually exclusive. b. None of the above. c. The…

A: It is an application of set theory . It forms a basic fact of probability .

Q: Amanda has 3 office assistants. If A is the event that at least 2 of them are men and B is the event…

A: Given data: The total number of assistants are n=3. The expression for the sample space of selecting…

Q: b. 0.7 c. 0.9 XX<3.4)= 7. If the random variable X has a chi-square distribution with degrees of…

A:

Q: we have 100 students in the Institute of Computing, Kohat University of Science and Technology. Out…

A: Probability is defined as the sum of favorable ways of an events divided by the total number of…

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

A:

Q: 2. How many different four-digit numbers can be formed from the digits 1,2,3,4,5,6,7 such tha the…

A: Answer : 2- Given the digits 1, 2, 3, 4, 5, 6, 7                    How many 4 digits number can be…

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: Dr. Wong is a veterinarian who sees only dogs and cats. In each appointment, she may or may not give…

A: Probability : Probability could be a discipline of arithmetic involved with numerical explanations…

Q: Suppose that events E and F are independent, P(E) = 0.4, and P(F) = 0.6. What is the P(E and F)? The…

A: The provided information are: P(E)=0.4 P(F)=0.6 The events are independent events to calculate P(E…

Q: A card is drawn from a standard deck. Which of the following is an example of a mutually exclusive…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 8. Let X have a negative binomial distribution with rand P=0.6. If the mean of X is 5 then r equal…

A: 8)Givenp=0.6q=1-pq=1-0.6q=0.4Mean of X = 5A random variable X~Negative binomial…

Q: 1. A parking lot has seven spaces for seven cars. The spaces are next to each other and the ones on…

A: Given, A parking lot has seven space for seven cars. The space is next to each other and the ones on…

Q: 4) Event A has probability 0.3. Event B has probability 0.5. If A and B are disjoint, then the…

A: Disjoint events: For disjoint events, there is no element in common. Two events A and B are said to…

Q: A particular shoe franchise knows that its stores will not show a profit unless they gross over…

A: (a) The probability that the new store shows profit in the first year or the second year is, P(A or…

Q: A and B are disjoint events. Suppose that P(B) = 2/5 and P(An B) 1/3. Please find P(A n B) =? %3D O…

A: Given,The events A, B are disjoint events it means P(A∩B)=0P(Bc)=25P(A∩Bc)=13

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: (a) Describe in a sentence what each of the following probabilities represents: (i) P(B),…

A: i) P(B) represents the probability of a student in the band.   ii) P(L|B) represents the probability…

Q: A jar of 150 jelly beans contains 20 red jelly beans, 38 yellow, 28 green, 26 purple, 24 blue, and…

A: A jar of 150 jelly beans contains 20 red jelly beans, 38 yellow, 28 green, 26 purple, 24 blue, and…