4. A box contains a total of 100 CDs that were manufactured on two machines. The following tablegives the number of defective and good CDs manufactured on these two machines.Machine AMachine BTotalDefective10515Good553085Total6535100(a) If one CD is selected at random from the box, is that very high chance to select a good CDwhich is manufactured by machine A? Explain.(b) Determine the probability that a randomly selected CD is either defective or it is notmanufactured by machine B. What is its relation with the probability of selecting a good CDwhich is manufactured by machine B?(c) Are the events "defective" and "manufactured by Machine B" independent? Justify youranswer.

DefectiveGoodTotalMachine A105565Machine B53035Total1585100

Answered: 4. A box contains a total of 100 CDs…

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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A study finds that 65% of children in a large city neighborhood own a bicycle.(a) Suppose that 6 children from that neighborhood are randomly selected. i. Find the exact probability that 3 of the children own bicycles.ii. ) Find the exact probability that at most 1 of the children in the sample own a bicycle
3. A jar contains black and white marbles. Two marbles are chosen without replacement. The probability of selecting a black marble and then a white marble is 0.34, and the probability of selecting a black marble on the first draw is 0.47. What is the probability of selecting a white marble on the second draw, given that the first marble drawn was black?
5. A tire company produced a batch of 6300 tires that includes exactly 250 that are defective. If 4 tires are randomly selected for installation, what is the probability that they are all good? (Do the calculations “without replacement”)
4) When horses A, B and C race together, their probability of winning the race is 1/2, 1/3 and 1/6, respectively. Assuming these horses race twice, what is the probability that horse A wins the first race and C wins the second race?
Suppose that you select a random sample of 200 pharmaceutical corporate managers and a study showed that the proportion held by women is 0.15, What is the probability that in the sample less than 15% of the corporate managers will be women? What is the probability that in the sample between 13% and 17% of the corporate managers will be women? What is the probability that in the sample between 10% and 20% of the corporate managers will be women? If a sample of 100 is taken, how does this change your answers to (a) through (c)?
2. A large population of crickets contains 30% who can chirp. Suppose 4 crickets are selected at random from this population, find the probability that (a) all can chirp, (b) at least one can chirp, and (c) exactly 2 can chirp.
Suppose it is known that 5% of men age 50 and older I have prostate cancer. And a random sample of 25 men age 50 and older what is the probability that exactly to have prostate cancer?
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1. A city has 9 coffee shops: 3 Starbuck's, 2 Caribou Coffees, and 4 Crazy Mocho Coffees. If a person selects one shop at random to buy a cup of coffee, find the probability that it is either a Starbuck's or Crazy Mocho Coffees.
3
3. A study conducted at a large hospital found that 27.8 percent of all patients admitted to the hospital's ICU remained in the ICU for less than 24 hours. (A) If 8 patients are selected at random from the ICU patients at the hospital, what is the probability that 2 or fewer of them remained in the ICU for less than 24 hours? (B) Suppose that 20 patients are selected at random from the ICU patients at the hospital. Calculate the mean and standard deviation of the number of these patients who remained in the ICU for less than 24 hours. (C) Another result of the study was that for elective (non-emergency) admissions to the hospital's ICU, the length of the stay in the ICU had a mean of 18.9 hours and a standard deviation of 3.9 hours. Assuming that the length of stay in the ICU for elective admissions is normally distributed, what proportion of elective admissions remained in the ICU for less than 24 hours?
Assume that the number of network errors experienced in a day on a local area network (LAN) is distributed as a Poisson random variable. The mean number of network errors experienced in a day is 1.9. What is the probability that in any given day less than three network errors will occur? ..... The probability that less than three network errors will occur is (Round to four decimal places as needed.)

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