Ten people arrive to eat at a restaurant. The only seating available for them is at twocircular tables, one that seats six persons, and another that seats four.Using these tables, how many different seating arrangements are there forthe ten people?(i)Assuming that the seating arrangement is random, what is the probabilitythat a particular couple will be seated at the same table?(ii)

Given that, Ten people arrive to eat at a restaurant. The only seating available for them is at two…

Answered: Ten people arrive to eat at a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Q2: Thirteen students in a class of 20 are females. Five students are to be randomly selected from the class. (a) In how many ways can we select the 5 students? (b) In how many ways can we select a group of 3 females and two males? (b) What is the probability that the selected 5 students include 3 females?
Thirteen jurors are randomly selected from a population of 5 million residents. Of these 5 million residents, it is known that 42% are of a minority race. Of the 13 jurors selected, 2 are minorities. (a) What proportion of the jury described is from a minority race? (b) lf 13 jurors are randomly selected from a population where 42% are minorities, what is the probability that 2 or fewer jurors will be minorities? (c) What might the lawyer of a defendant from this minority race argue? (a) The proportion of the jury described that is from a minority race is (Round to two decimal places as needed.) (b) The probability that 2 or fewer out of 13 jurors are minorities, assuming that the proportion of the population that are minorities is 42%, is (Round to four decimal places as needed.) (c) Choose the correct answer below. O A. The number of minorities on the jury is impossible, given the composition of the population from which it came. O B. The number of minorities on the jury is unusually…
K A bag of 32 tulip bulbs contains 14 red tulip bulbs, 8 yellow tulip bulbs, and 10 purple tulip bulbs. Suppose two tulip bulbs are randomly selected without replacement from the bag. (a) What is the probability that the two randomly selected tulip bulbs are both red? (b) What is the probability that the first bulb selected is red and the second yellow? (c) What is the probability that the first bulb selected is yellow and the second red? (d) What is the probability that one bulb is red and the other yellow? (a) The probability that both bulbs are red is (Round to three decimal places as needed.) Give me all part answer this is one question
Fuego Ironworks has an inspection system for the batches of Chroma purchased from vendors. A batch typically consists of 15 Chromas. In the inspection system, a random sample of 5 is selected and tested. If there are 2 defective Chromas in the batch of 15, what is the probability that: a. there will be 1 defective chroma b. both defective chroma are detected
For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in the table. Black Silver White Korea 33 34 35 Japan 23 24 America 16 25 34 Germany 19 16 32 One car is selected at random from this group. Find the probability that the selected car is (i) a black or white car manufactured in Korea. (ii) not manufactured in Japan. (iii) is a white car, given that it was manufactured in America
An observer stands at an overpass of a highway and counts the cars that pass by. He stops counting when he sees a red car. If the probability of cars which are red is 0.20, what is the probability that 10 car will be observed? (A) 0.389 B) 0.6825 c) 0.0268 none of the choices
: The probability that a mountain-bike rider travelling along a certain track will have a tyre burst is 0.05. Find the probability that among 17 riders: (a) exactly one has a burst tyre (b) at most three have a burst tyre (c) two or more have burst tyres.
A bag contains 8 red, 3 blue and 13 yellow discs. A disc is selected at random from the bag. What is the probability that the disc selected is: (i) red (ii) blue (iii) yellow (iv) not yellow?
In a horse race, a particular bet is won if you selected the three horses that finish first, second, and third, and they can be selected in any order. A certain horse race had a field of 18 horses. What is the probability of winning this bet if you randomly select the horses? The possibility of winning this bet when randomly selecting the horses is (Round to five decimal places as needed.)
The number of marbles of different colors stored in a hat is listed below: 8 red marbles 10 green marbles 6 blue marbles Without looking in the hat, Tessa takes out a marble at random. She replaces the marble and then takes out another marble from the hat. What is the probability that Tessa takes out a blue marble in both draws?

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