1- Let a coin and a die be tossed; let the sample space S consists of the twelveelements:S={H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}(i) Express explicitly the following events:A={heads and an even number appear}B={a prime number appears}C={tails and an odd number appear}(ii) Express explicitly the event that:a) A or Boeeurs(b) В and C осcursB and CSelect one:О a. ( Т3, T5}О . (Н2, НЗ, Н5, Т2, ТЗ, Т5}O c. none

Given: Sample space is shown below S = {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6} A = heads…

Answered: - Let a coin and a die be tossed; let…

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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Please help with number 5, thanks!
Now assume that all the fish in the database are in the same tank and that 20% of them are arctic chars fish. Now suppose we choose 5 fish from the tank at random. A) What is the probability that two of the fish are arctic chars fish? B) What is the probability that less than two of the fish are arctic chars fish?
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.]
4. A spinner is now created with four equal sized sectors as shown, An experiment is run where the spinner is spun twice and the outcome is recorded each time. (a) Create a sample space list of ordered pairs that represent the outcomes, such as (4, 2), which represent spinning a 4 on the first spin and a 2 on the second spin. 3 2 (b) Using your answer from (a), determine the probability of obtaining two numbers with a sum of 4.
Suppose that on an average one mobile number is busy out of thirteen. Complete parts (a) and (b). a) If six mobile numbers are selected randomly, what is the probability that not more than three will be busy? b) If six mobile numbers are selected randomly, what is the probability that at least three of them will be busy? a) If six mobile numbers are selected randomly, the probability that not more than three will be busy is (Round your answer to four decimal places as needed.) b) f six mobile numbers are selected randomly, the probability that at least three of them will be busy is (Round your answer to four decimal places as needed.)
At a Noodle & Company Restaurant the probability that a customer orders a nonalcoholic beverage is .50 A) Find the probability that in a sample of 14 customers none of the 14 will order a nonalcoholic beverage. B) Find the probability that in a sample of 14 customers at leaat 7 will order a nonalcoholic beverage. C) Find the probability that in a sample of 14 customers fewer than 8 will order a nonalcoholic beverage. D) Find the probability that in a sample of 14 customers all 14 will order a nonalcoholic beverage.
suppose in a class there are 170 students. of those 170 students, 90 are males and 80 are females. among 90 male students, 55 like playing the game of football and 35 do not like it. Among 80 female students, 10 like playing the game of football and 70 do not like it. a) Represent all this information in the form of a cross tabulation or probability contingency table. b) Show probabilty tree diagrams for all the possible random events that can occur (with their probabilites) if a student is picked randomly in a class.
Suppose in a class there are 170 students. Of those 170 students, 90 are males and 80 are females. Among 90 male students, 55 like playing the game of football and 35 do not like it. Among 80 female students, 10 like playing the game of football and 70 do not like it. Represent all this information in the form of a cross tabulation or probability contingency table. Show probability tree diagrams for all the possible random events that can occur (with their probabilities) if a student is picked randomly.
The prerequisite for Chem-201 at a college is Chem-101 or instructor approval. Suppose 80% of the students in Chem-201 had taken Chem-101, and of them, 69% passed Chem-201. Furthermore, of the students who passed Chem-201, 76.2% had taken Chem-101 beforehand. A student in Chem-201 is randomly chosen. a) Find the probability that the student passed Chem-201. b) Find the probability that the student enrolled in Chem-201 with instructor approval, given that the student failed the course. ..... a) The probability that the student passed Chem-201 is (Do not round until the final answer. Then round to four decimal places as needed.) b) The probability that the student enrolled in Chem-201 with instructor approval, given that the student failed the course is (Do not round until the final answer. Then round to four decimal places as needed.)
A defense industry firm in Ankara made an announcement to recruit. 65 of them are Metallurgical and Materials Engineering graduates and 72 are Chemical Engineering graduates, who applied for this job advertisement. All applicants seem satisfactory, so 13 are selected to fill open positions. a) Find the probability of recruiting 5 or more candidates with a Metallurgical and Materials Engineering degree. b) What is the probability that at most 9 of the selected candidates are Chemical Engineering graduates? c) Find the mean, variance and standard deviation if 8 Metallurgical and Materials graduates are selected for these positions.
Suppose there are three balls in a box. On one of the balls is the number 1, on another is the number 2, and on the third is the number 3. You select two balls at randomandwithoutreplacementfromtheboxandnotethetwonumbersobserved. The sample space S consists of the three equally likely outcomes {(1,2),(1,3),(2,3)} (disregarding order). Let X be the sum of the two balls selected.(a) What is the distribution for X? (b) What is the probability that the sum is at least 4? (c) What is the mean of X?

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