Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows:                                     shock resistance                                       high             low scratch          high             70              9 Resistance     low              16              5 Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance. Are events A and B are independent?

Q: A and B events are discrete events, P (ANB) =Ø, A event is 20%. If the probability of occurrence of…

A: Given that: P(A)=20%=0.20, P(A∩B)=0,  P(A ∪ B)=50%=0.50.We use the union…

Q: Suppose an experiment has 6 outcomes O1, O2, O3, O4, O5, and O6, and they have the following…

A: The outcomes and probabilities are given as, Outcome Probability O1 w1 = 0.45 O2…

Q: Suppose an influenza epidemic strikes a city. In 12.5% of families the mother has influenza; in…

A: From the given information, let A1 be the mother has influenza. Let A2 be the father has influenza.

Q: bê évents in a sample space with P(A) = r, P(B) = y, and P(ANB) = z. Express each of the following…

A: Given Let A and B be events in a sample space P(A) = x, P(B) = y, P(A∩B) = z.  x= 0.17,y = 0.13 ,…

Q: Events A and B are independent. Suppose event A occurs with probability 0.41 and event B occurs with…

A: Given that P(A)=0.41 and P(B)=0.22 a. The probability that both A and B occur if event A or B occurs…

Q: a) Given events A, B, and C with their respective probabilities, P(A) = 0.30, P(B) = 0.40 and P(C) =…

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Q: drawn at random and without replacement from a bag containing two blue chips and two red chips.…

A: Given: n(blue) = 2 n(red) = 2 n(total) = 4 n(drawn) = 2 A :Both chips are red.

Q: Samples of a cast aluminum part are classified on the basis of surface finish (in microinches) and…

A: The data table is given as:Edge finishGoodExcellentSurface finishExcellent679245Good 23853The given…

Q: A survey of local car dealers revealed that 64% of all cars sold last month had CD players, 28 had…

A: Solution: Let A be the event that cars sold last month had CD players P( A) = 0.64  B be the event…

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

A: no. of disk with high shock resistance = 70+16=86 no. of disk with low shock resistance = 9+5= 14…

Q: . A box contains 10 balls of which 5 are red and 5 are white. If two balls are randomly drawn with…

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Q: Urn 1 contains 6 red and 4 white balls. Urn 2 contains 4 red and 5 white balls. A ball is drawn from…

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Q: An experiment consists of rolling a single die. Two events are defined as: A = {a 4 shows up}, and B…

A: It is given that the experiment consists of rolling a single die. Thus, sample space will be…

Q: If you roll two dice and record their sum, the events “even” and “less than or equal to 6” are:…

A: We have to check the independence of 2 events.

Q: Consider two events, A and B. Suppose that P(A)=.40,P(B)=.50,  and P(A∩B)=0.2 . Calculate the value…

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Q: A certain process requires the operation of machincs A and B, and either machine C or D. If the…

A: Here USE basic probability

Q: Q. 2 If A and B are two events associated with an experiment and P(A) = p. Find the choice of p for…

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Q: The content of two urns is as given below: Urn (U1): x red balls and (y+1) black balls Urn (U2):…

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Q: Suppose that A,B, & C are three independent events such that Pr(A)=1/4, Pr(B)=1/3, and Pr(C)=1/2. A.…

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Q: In a certain factory, machines I, II, and III are all producing springs of the same length. Machines…

A: Obtain the probability that it is defective if one spring is selected at random from the total…

Q: A milk display case at a grocery store is stocked with cartons of regular milk and soy milk, in both…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: At a local college, four sections of economics are taught during the day and two sections are taught…

A: At a local college, four sections of economics are taught during the day and two sections are taught…

Q: 2.3 Let A and Bbe two events af the same somple space. If A and Bare independent and P(A) = 0.5 and…

A: P(A)=0.5, P(A⋂B)=0.20 P(B)=?

Q: Suppose that E and F are two events and that P(E and F) = 0.2 and P(E) = 0.5. What is P(FJE)? P(FJE)…

A: Given: P(E and F) = 0.2 P(E) = 0.5

Q: Two dice are tossed together. Let A be the event that the sum of the faces are odd, B the  event…

A: When we tossed two dice. So total no. of possible outcomes will be 62 = 36…

Q: In the population of Dry Gulch, 75% of the population are rancher and 90% are beer drinkers. Only 5%…

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Q: What is the probability that a randomly selected student does not have a Microsoft product and does…

A: Answer:- Let, A = the randomly selected student has a Apple product. B = the randomly selected…

Q: 7. Define the following events: X = event that an athlete takes vitamin X Y = event that an athlete…

A: Given: X is an event that an athlete takes vitamin X Y is an event that an athlete takes vitamin Y Z…

Q: In one area, 6% of the population drive luxury cars. However, 25% of the CPAS drive luxury cars. Are…

A: In one area 6% of the population drive luxury cars .however 25% of the CPAs  drive luxary cars .are…

Q: Consider two events, G and H, that are not mutually exclusive. It is known that P(G) = .72, and…

A: Given that the two events are statistically independent.P(G) = 0.72P(H) = 0.16

Q: One student is selected at random. Let's define the following events: A = event the student selected…

A: Note:  We'll answer the first question since the exact one wasn't specified. Please submit a new…

Q: In a production line of a product samples are collected and recorded as per the level of…

A: