b) Let A be the event that a family has children of both sexes and B be the event that a family has at most one boy. Show that if a family is known to have four children, then A and B are dependent events.

Q: Let A = the event of getting at least one defective calculator when four are randomly selected with…

A: Given:  Event A= getting atleast one defective calculator when 4 are randomly selected Then to write…

Q: According to special rule of addition P(A or B) = P(A) + P(B), is true if and only if a.A and B are…

A: We need to find the special rule of addition for which P(A or B) = P(A) + P(B) is true .

Q: In a group of 5000 adults, 3500 are in favor of stricter gun control laws, 1200 are against such…

A:

Q: Suppose in a particular college, 60% of the student population is female. (a) Calculate the…

A: Given, 60% of the student population is female. p = 0.6 Sample size n = 10 For a binomial…

Q: Suppose that A and B are non-mutually exclusive events such that 17 . P(A) = 21,P(B) = 2121 and P(A…

A: It is given that  P(A) = 8/21 P(B) = 12/21 P(A or B) = 17/21

Q: Given that A and B are two independent events. Give your own example to show the independent event…

A:

Q: Suppose that A and B are events such that: P(A) = —‚P(B) = 10 and P(A or B) = Use rule of sum and…

A: Given Information: p(A)=310p(B)=12p(A or B)=25

Q: b) Let A be the event that a family has children of both sexes and B be the event that a family has…

A: According to given conditions: A= Event representing that a family has children of both sexes. B=…

Q: Suppose a recent government report indicates that 1% of the labor force is American Indian. Of the…

A: Given,      PA=0.01      PB/A=0.11 and PB/A-=0.06      PB=PA⁎PB/A+PA⁎PB/A…

Q: 3 The records at a rural medical centre show that • 35% of all children registered there have some…

A: Given, event A = Having respiratory illness Event B = Having glue ear Event C = neither of…

Q: Two cards are randomly chosen without replacement from a ordinary deck of 52 cards. Let B be the…

A: In the particular problem, out of 52 cards the randomly chosen cards are 2 where the event BB…

Q: If A, B, C are are independent of C. independent events, show directly that both AUB and A\ B

A: Given that A, B, and C are independent means that, A∩B=B∩C=C∩A=A∩B∩C=φ.... (1) Now, A∪B be can be…

Q: The general manager, marketing director, and 3 other employees of Company A are hosting a visit by…

A: Answer : Given: General manager = 1 Marketing Director = 1 Employees of company A = 3 Vice president…

Q: In an audio and video device repair shop, let A be the event in which the component being repaired…

A:

Q: If 60% of all women are employed outside the home, find the probability that in a sample of 10…

A:

Q: Suppose an individual is randomly selected from the population of alladult males living in the…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: Suppose that A,B, and C are three events that cannot all occur simultaneously. Does this condition…

A: Venn diagramVenn diagram is a diagrammatic representation of sets which shows the relationship…

Q: Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The…

A: P(A) = (70 + 16) / 100 = 86 / 100 = 0.86 P(B) = (70 + 9) / 100 = 79 / 100 = 0.79 P(AB) = Probability…

Q: Construct a Venn diagram representing the event a.(A&(not B)).b.((A or B)&(not (A&B)))

A: a)Venn diagramVenn diagram is a diagrammatic representation of sets which shows the relationship…

Q: Suppose a recent government report indicates that 1% of the labor force is American Indian. Of the…

A: The probabilities are P(A) = 0.01, P(A') = 0.99, P(B|A) = 0.11, P(B|A') = 0.06. The probability that…

Q: Two Fair dice, one red and one black as shown in fig 4B, are thrown. Let A denote the event that the…

A: Given: A = red die shown an even numberB=black die shows a 6 or 7N = number of sample…

Q: Given that A and B are independent events, show that A and B are also independent events.

A:

Q: Let A be the event that a card picked from a 52 card deck is a diamond card. Describe in words the…

A: According to the provided information, A be the event that a card picked from a 52 card deck is a…

Q: A box contains 10 T-shirts comprising of 4 blue long sleeve T-shirts, 3 white long  sleeve T-shirts,…

A: Given: A box contains 10 T-shirts :  Total long sleeve = 7  :4 blue, 3 white Total short sleeve = 3…

Q: 1. The probability that Dan will go to work tomorrow is 0.3 and Jimmy does not go to work is 0.25.…

A: Introduction:  Here we need to find probability that atleast one of them will go to work.  For…

Q: 2.83 If A and B are mutually exclusive events and P(B) > 0, show that P(A) P(A|AU B) = P(A)+ P(B)'

A: Given that  A and B are events A and B are mutually exclusive events  P(B)>0 Show that  P(A/(A U…

Q: n a certain community, 25% of the families own a dog, and 20% of the families that own a dog also…

A: Given 25% of the families owns a dog 20% of the families that owns a dog also owns a cat 25% of all…

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: Suppose you have a bag containing four white balls numbered 1,2,3,4, three blue balls numbered…

A: Hello there! Thank you for the question. According to our honor code can answer three sub parts at 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: b) Let A be the event that a family has children of both sexes and B be the event that a family has…

A: Given that A be the event that a family has children of both sexes and B be the event that a family…

Q: For a certain population of employees, the percentage passing or failing a job competency exam,…

A: Given that  Let A be the event that the employee scores a passing grade on the exam and let M be the…

Q: Suppose a card is drawn from a standard 52 cards deck. Let A denote he event "the card drawn is…

A:

Q: 16. Two coins are tossed. If A is the event “two heads" and B is the event "two tails ". A and B…

A: Two events are said to be mutually exclusive if happening of one event precludes the happening of…

Q: Suppose that A and B are independent events with P(A) = .40 and P(B) = .70, then P (B'/A') is

A: Given information- P(A) = .40 P(B) = .70 We have to find P (B'/A'). We know that- P(A’) = 1 - P(A)…

Q: ent “at most one head on the two tosses” and let B denote the event “one head and one tail in both…

A: The two coins are tossed. The sample space for the two coins tossed are , S=HH,TT,TH,HT The event A…

Q: Suppose a coin is tossed thrice. Let the event A be "getting three heads" and B be the event of…

A:

Q: Suppose that A, B and C are three independent events such that P(A)=0.2, P(B)=0.5 and P(C)=0.1.…

A:

Q: In tossing a fair coin twice, let the events A and B be defined as A: getting head on the first…

A:

Q: Two coins are tossed. If A is the event "two heads" and B is the event “two tails " ar A and B…

A: S={HH,HT,TH,TT} A={HH} B={TT}

Q: Suppose that you receive 10000 laptops, but 20% are defective. You pick two laptops at random, one…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Let A be the event that the selected person will vote for Republican party; B be the event that the…

A: From the given information, there are totally 1000 voters are considered in which 280 are males who…

Q: An experiment consists of picking one of two urns at random and then selecting a ball from the urn…

A: An experiment consists of picking one of two urns at random and then selecting a ball from the urn…

Q: Suppose a recent government report indicates that 1% of the labor force is American Indian. Of the…

A: We have to use Bay's Formula : P( A | B ) = P(A)*P( B | A ) P(A)*P( B | A ) +P(Ac)*P( B | Ac )

Q: Let A be the event that a family has children of both sexes and B be the event that a family has at…

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

Q: Which pair(s) of events are Mutually Exclusive.

A: In a competition, two people will be selected from four finalists to receive first prize and second…

Q: 4. Determine whether each of the following pairs of events is independent:

A: