If one item is selected at random, find these probabilities. a) It was manufactured at factory X or is a stereo. b) It was manufactured at factory Y or factory Z. c) It is a TV or was manufactured at factory Z.
Q: Box A has three red balls and two white balls. Box B has one red ball and two white balls. Suppose…
A: Given that Box A has three red balls and two white balls. box B has one red and two white balls.…
Q: Urn 1 contains three red balls and five green balls and urn 2 contains four red balls and seven…
A: Conditional Probability: Let A and B be two events with P(A) > 0. Then the conditional…
Q: Q2. If a die is rolled one time, find these probabilities (a) Getting a 3 (b) Getting a number…
A:
Q: Three boxes contain red and green balls. Box 1 has 5 red balls and 5 green balls, Box 2 has 7 red…
A: It is given that there are three boxes contain red and green balls. Box 1 contains 5 red balls and 5…
Q: Consider two boxes, call them box I and box II. Box I contains 5 blue and 4 red marbles, while box…
A: This probability problem is a conditional probability or known as Bayes' theorem;Let E1 be the event…
Q: Micahel is running a small business. He knows that last week 62 customers paid cash, 20 used a debit…
A: The number of customers paid cash is 62.
Q: Producers (A and B) supply car mirrors to Distributor. If mirror is picked up at random, Probability…
A: Given information: P(A)=0.25 P(B)=0.75 P(defect| A)=0.04 P(defect| B)=0.02
Q: The probability that a US industry is located in Shanghai, China is 0.65, the probability that it is…
A: We have given that P( Shanghai china) = P( A) = 0.65 P( Beijing china) = P( B ) = 0.32 P( Shanghai…
Q: a. P(A’) d. P(A’∩B’) b. P(A∪B) e. P[(A∪B)’] c. P(A’∩B) f. P(A’∪B)
A: Here use venn diagram to answer the question
Q: Suppose that there are 2 red balls, 1 blue ball, and 2 white balls in an urn. A ball is drawn and…
A: There are total (2+1+2)=5 balls in the urn. Let R= Red , B= Blue , W= White Number in suffix will…
Q: Urn A contains 6 red and 4 black balls and urn B contains 4 red and 6 black balls. One ball is drawn…
A:
Q: A person is selected at random during the Republican National Convention. Suppose the probability…
A: Given, The probability that the person selected is a woman is, P(W) = 37% = 0.37The probability that…
Q: Suppose a box contains 1 green ball and 1 red ball, and a second box contains2 green and 3 red…
A: NowA1 : First box chosenA2 : second box chosenP(A1)=P(A2)=1/2=0.5NowFirst box has 1 green ball and 1…
Q: There is a box which contains only blue, yellow and red marbles. Kyle randomly takes a marble from…
A: Given: A box contains only blue, yellow, and red marbles. Course of Actions: Kyle takes a marble and…
Q: When a customer enters a drugstore, the probabilities that he or she will have 0, 1, 2, or 3…
A: 1. Given: The probability of persons having 0 prescription is 0.55, 1 prescription is 0.30, 2…
Q: This will be involving the selection of colored balls from two bags. Assume that each bag contains 5…
A: bag 1 : 4 red1 white_____________5total ballsbag2 :3 red1 white1 blue___________5 total ballsselect…
Q: An office has 2 fire detectors. Suppose that 3 out of every 100 fire detectors will fail to go off…
A: It is given that, 3 out of every 100 fire detectors will fail to go off during a fire.
Q: what is the probability that George will be elected?
A: Here given, In an upcoming congressional election, two democrats, Al and Bill, seek the nomination…
Q: bread basket contains biscuits and muffins. There are half as many biscuits as muffins, the muffins…
A: Given: There are half Biscuits and Muffins. Three times Muffins are Blueberry than Raisin Muffins.
Q: Suppose that there are 1 red ball, 1 blue ball, and 3 white balls in an urn. A ball is drawn and…
A: Given Data: Number of red balls=1 Number of blue balls=1 Number of white balls=3 Total number of…
Q: Urn 1 contains 2 red and 8 white balls. Urn 2 contains 5 red and 4 white balls. A ball is drawn from…
A: Given that Urn 1 contains 2 red and 8 white balls. That is, the total number of balls in Urn 1 is…
Q: Suppose that the space shuttle has three separate computer control systems. The main system and two…
A: As Given in the question: There are three separate computer control systems. The main system and two…
Q: There are 2 coffee machines at the Café. Probability that machine1 fails is 0.3. Probability that…
A: Let A denote the coffee machine-1 fails and B-denote the coffee machine-2 fails. Here, it is known…
Q: Boy has two bags of plums. Each bag has 10 plums but: In Bag 1 there is 7 ripe and 3 raw plums In…
A:
Q: Urn X contains 3 red and 2 white balls, and bowl Y contains 4 red and 3 white balls. A ball is drawn…
A: We have to use multiplication theory of probability to find the required probability.
Q: A telephonist claims that he gets 10 calls every five minutes. To demonstrate this to his boss he…
A: Given that, Average 10 calls (μ=10)Here, we can use Poisson distribution
Q: What is the probability that he will be selected in one of the firms?
A: Here use given information and draw venn diagram
Q: One of two urns is chosen at random with one as likely to be chosen as the other. Then a ball is…
A: For the given data Find p ( urn 2 / white ) =?
Q: The probability that an American industry is located in Shanghai, China is 0.62, the probability…
A: We have given that P(A) = 0.62 P( B) = 0.49 P( A U B ) = 0.77
Q: Three boxes contain red and green balls. Box 1 has 5 red balls and 5 green balls, Box 2 has 7 red…
A: Let A, B, C are the probabilities of choosing a box. PA=14, PB=12,PC=14
Q: An urn contains 15 balls marked LOSE and 3 balls marked WIN. Suppose that Chuck and Delilia take…
A: An urn contains 15 balls marked LOSE and 3 balls marked WIN Total = 18 Chuck makes the first…
Q: Ken is considering entering a local fishing tournament, but his choice to enter depends somewhat on…
A: Given:P(Ken wins | Billy enters) = 0.15P(Ken wins | Billy does not enter) = 0.40P(Billy enters) =…
Q: The sales agent Parson works in three cities A, B and C. To avoid unnecessary travel, he stays all…
A: The sales agent Person works in three cities A, B, and C. To avoid unnecessary travel, he stays all…
Q: Suppose you have three bowls, X, Y , and Z with some number of red and blue balls. Bowl X has 2 red…
A:
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- Jay-Z has applied to both The School of Hard Knocks and The University of OG's. He thinks the probability that The School of Hard Knocks will admit him is 0.4, the probability that The University of OG's will admit him is 0.5, and the probability that both will admit him is 0.2. Creating a Venn Diagram is Helpful. What is the probability that Jay-Z gets into The School of Hard Knocks but not The University of OGʻs?There are two white balls in box B1, two red balls in box B2, two white and two red balls in box B3, and three white and one red balls in box B4. The probability of choosing boxes B1, B2, B3 or B4 is given as 1/2, 1/4, 1/8 and 1/8 respectively. One of the boxes is chosen at random and a ball is drawn at random from the selected box. What is the probability that the selected ball comes from box B3 under the condition that it is white?Bag A contains 3 red and 4 black balls and Bag B contains 4 red and 5 black balls. One ball istransferred from Bag A to Bag B and then a ball is drawn from Bag B. The ball so drawn is found tobe red in color. Find the probability that the transferred ball is black.
- in their closet a pack rat has 7 pairs of boots plus 4 other boots which are unpaired as their match had been thrown in the trash. if they reach into their closet and grab a boot at random what is the probability that the matching boot is in their closet?Assume that three stop lights on the way to school are independent. Their time probabilities are P(Red)=0.4, P(Green)=0.5, and P(Yellow)=0.1 values. What is the probability of getting ALL THREE green lights on a trip to school?Suppose that a bag contains one white chip and two red chips. Chips are going to be selected at random from the bag with replacement. What is the probability of selecting a white chip from the bag? What is the probability of selecting a red chip from the bag? Are the outcomes of selecting a white chip and selecting a red chip equally likely? Two chips are selected from the bag with replacement. Is the probability of selecting two white chips greater than, equal to, or less than the probability of selecting two red chips? Explain your answer.
- Construct a table when rolling an 8 sided die with a 10 sided die.There are two bags A and B. Bag A contains n white balls and 2 black balls while bag B contains 2 white balls and n black balls. One of the two bags is selected at random and two balls are drawn from it without replacement. We know that if both the balls drawn are white balls, the probability of bag A being selected to draw the balls is . Find the value of n.You are the teacher of two math classes of 20 and 25 students respectively. To get into a university program, the students need a 75% in the class. Suppose each student has a 0.7 probability of getting atleast a 75% in the class. Let X1 be the number of students in the class of 20 who receive atleast a 75%. Let X2 be the number of students in the class of 25 who receive atleast a 75%. a. Do X1 and X2 fit the binomial setting? Are there any issues? For the rest of the question, assume both X1 and X2 can be modeled by a binomial distri- bution. b. What is the probability that exactly 15 students in the class of 20 get into the pro- gram? Do not use Table C. c. What is the probability that atleast 22 students in the class of 25 get into the pro- gram? Do not use Table C. d. Using Table C, what is the probability that atleast 17 students in the class of 20 get into the program? е. Let X be the number of students in both classes that get into the program. Deter- mine the mean and standard…