Components of a certain type are shipped to a supplier in batches of ten. Suppose that 50% of all suchbatches contain no defective components, 35% contain one defective component while 15% contain twodefective components. If two components are randomly selected from the batch.What are the probabilities associated with 0, 1 and 2 defective components being in the batch undereach of the following conditions?(a) Neither selected component is defective.(b) One of the two components is defective.

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Answered: Components of a certain type are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You have three jars containing marbles, as follows:jar 1 600 red and 400 whitejar 2 900 blue and 100 whitejar 3 10 green and 990 whitea. If you blindly select one marble from each jar,calculate the probability of obtaining(1) a red, a blue, and a green.(2) three whites.(3) a red, a green, and a white.(4) a red and two whites.(5) a color and two whites.(6) at least one white.b. In a certain plant, R = red and r = white. You self a redR/r heterozygote with the express purpose of obtaining awhite plant for an experiment. What minimum numberof seeds do you have to grow to be at least 95 percentcertain of obtaining at least one white individual?c. When a woman is injected with an egg fertilized invitro, the probability of its implanting successfully is20 percent. If a woman is injected with five eggssimultaneously, what is the probability that she willbecome pregnant? (Part c is from Margaret Holm.)
Components of a certain type are shipped to a supplier in batches of ten. Suppose that 50% of all such batches contain no defective components, 30% contain one defective component, and 20% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0, 1, and 2 defective components being in the batch under each of the following conditions?a. Neither tested component is defective.b. One of the two tested components is defective. [Hint: Draw a tree diagram with three first-generation branches for the three different types of batches.]
Three different machines M1, M2, and M3 are used to produce similar electronic components. Machines M1, M2, and M3 produce 20%, 30% and 50% of the components respectively. It is known that the probabilities that the machines produce defective components are 1% for M1, 2% for M2, and 3% for M3. If a component is selected randomly from a large batch, and that component is defective, find the probability that it was produced: (a) by M2, and (b) by M3.
6. A large group of people is to be checked for two common symptoms of a certain disease. It is thought that 20% of the people possess symptom A alone, 30% possess symptom B alone, 10% possess both symptoms, and the remainder have neither symptoms. For one person chosen at random from this group, find these probabilities (a) The person has neither symptom. (b) The person has at least one symptom. (c) The person has both symptoms, given that the person has symptom B.
A paper bag contains a mixture of three types of treats: 12 granola bars, 10 fruits bars, and 8 cheese strips. Suppose that you play a game in which a treat is randomly taken from a bag and replaced, and then a second treat is drawn from the bag. You are allowed to keep the second treat only if it was thesame type as the treat that was drawn the first time. Determine the probability that you'll be able to keep a cheese strip.
A company buys microchips from three suppliers I, II and III. Supplier I has a record of providing microchips that contain 10% defective; supplier a defective rate of 5% and supplier III has a defective rate of 3%. Suppose 10%, 40% and 50% of the current supply came from suppliers I, II and III, respectively. If a randomly selected microchip is defective, what is the probability that it came from supplier II? Express your answer accurate to two decimal places. O 48 O..40 O something else O 44 O 41
A retailer of automobile parts has four employees, K, L, M, and N, who make mistakes in filling an order one time in 100, four times in 100, two times in 100, and six times in 100. Of all the orders filled, K , L, M, and N fill, respectively, 20%, 40%, 30%, and 10%. If a mistake is found in a particular order, what are the probabilities that it was filled by K, L, M, or N?
Adam, Bill, Carl, David, Ellen, Fran and Ginger are all candidates for two identical jobs. If two candidates from this list are selected randomly, compute the probabilities of the following events: (i) Two males are selected (ii) Two females are selected (iii) One male and one female is selected (iv) Adam is selected (Note: Adam, Bill, Carl and David are males and Ellen, Fran and Ginger are females.)
A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the machine to work properly. Assume the probability of one part working does not depend on the functionality of any of the other parts. Also assume that the probabilities of the individual parts working are P(A) = P(B) = 0.95, P(C) = 0.91, and P(D) = 0.96. Find the probability that at least one of the four parts will work. Round to six decimal places.

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