=-bllUMU19=1-.68231302083D,31768234on average befere Stendard Wispecineve sloughtared dickans are ntomiatel wnthSladhockens10ntommotelHIGNOJ Ichicken poop and 95 are not incollects 1o chiCkEnS ot rolomthem, what probebtntthat a 'randam Sample of lo cnckens hasatrondomTnspeaorond sects15theat least one caeminated uth checken poop)НОМИЯИСКОО

Let X denote the number of chickens contaminated with chicken poop and it follows binomial…

Answered: =-bllUMU 19 =1-.6823130208 3D,31768…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A company is selecting 5 people to be on a committee. There are 21 employees eligible to be on the committee. What is the total number of ways the committee may be formed if the employees are selected at random and each employee will have a different position on the committee? (One person will be president, another vice president, ...)a) 2441880b) 20349c) 12209400d) 4368e) 524160f) None of the above
3. Pick any number, multiply the number by 5, and add 10 to the number. Divide the sum by 5. Subtract 1 from the quotient. a) What is the relationship between the number you started with and the final answer? (might need to choose random numbers and apply procedure multiple times before noticing pattern) Ingresb sd3 ni (saie yns to) assup2 to 19dmin odd saianstad T b) Prove, using deductive reasoning (algebra), the conjecture made in part (a). Needs to be a general proof not a particular numerical example.
Suppose a box of 40 donut holes, out of which 16 are glazed and 24 are not glazed. If the environment in 5 were changed such that the donut holes were drawn with replacement (gross!), what would be the expected number of glazed donuts in 5 draws? 1 1.5 2 2.4.
A bag contains three different balls, one red (r), one blue(b), one white(w). TWO balls are drawn from the bag without replacement one after the other (at random without looking) and the colors recorded. This means once the first color is drawn, the first ball is kept out of the bag and only 2 colors remain when the second ball is drawn. List the sample space. [Use lower case letters for the colors, preserve the given order, commas separating pairs, no spaces.]
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2Not long after being put into service, some electric scooters manufactured with a certain brandhave developed cracks on the underside of their main frame. Suppose a particular collegecampus has 25 such scooters, and cracks have actually appeared in eight of them.a. How many ways are there to select a sample of five scooters from the 25 for thoroughinspection?b. In how many ways can a sample of five scooters contain exactly four with visible cracks?c. If a sample of five scooters was chosen at random, what is the probability that exactlyfour of the five will have visible cracks?d. If scooters are selected as in part c, what is the probability that at least four of thoseselected will have visible cracks?
Aslandard deck of cards 1B clubs, 13 diannds, contains 13hearts and 13 Spader Iffive cards are Fandomly selected, fiñd the probabrli Ty of geltmg obtened when a ll flesh CAFlush is pive cards are of the Same sit That are all claibs orall dhomonds or all heai allspades or
In a sample of 15 boxes (each contains 40 bottles) of mineral water, the chemist found out that 2, 3, 4, 2, 6, 3, 5, 4, 4, 3, 6, 2, 1, 0 and 5 bottles respectively are contaminated. Determine the a) median number of bottles b)modal value of bottles
13. The national government of a country is to form a committee on environmental regulation. There are 83 legislators to choose from: 52 from urban areas and 31 from rural areas. If 5 legislators are chosen at random, determine the probability, to 3 decimal places, that a) the Prime Minister and the Opposition Leader are both on the committee b) exactly 4 urban legislators are on the committee c) at least one rural legislator is on the committee d) at least one rural legislator is on the committee, if the urban-based Minister of the Environment must be on the committee. /3
54. A card-dealing machine deals spades (1), hearts (2), dubs (3), and diamonds (4) at random as if from an infinite deck. In randomness check, 1,600 cards were dealt and counted. The results are shown below. Sult Observed Spades Hearts 410 405 Clubs 370 Diamonds 415 To test if the poker-dealing machine deals cards at random, the null and alternative hypotheses are A. Ho: P1 P2 = P3 = P4 = 0, HA: Not all population proportions are equal to 0,25 B. Ho: P1 = P2 = P3 = P4 = 0.25, HA: Not all population proportions are equal to 0,25 C. Ho: P1 = P2 = p3 = P4 = 1, HA: Not all population proportions are equal to 0,25 D. Ho: P1 = P2 = P3 = p. = 0.20, HA: Not all population proportions are equal to 0,20 %3D %3D %3D 55. A university has six colleges and takes a poll to gauge student support for a tuition increase. The university wants to ensure each college is represented fairly. The below table shows the observed number of students who participate in the poll from each college and the actual…
A) Two 4's and two 7's are arranged at random to form 4-digit numbers .We assume that all numbers are equally likely if the 4-digit no.is odd,what is the probability that the two 4's are together?
2. Sample space contains 5 red balls, 7 green balls, 10 blue balls and 2 yellow balls. a) What is the probability of selecting a green ball? b) Green or yellow? c) Red then yellow with replacement? d) Green then blue without replacement? e) Red and Blue without replacement? (Hint: order not specified) f) Red then green ball or blue then yellow ball with replacement?

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