![1) (6pts) Three married couples have purchased theater tickets and are seated in a row consisting of just six seats. a) How many different seating arrangements are possible? TOTAL: How many different seating arrangéments have the three men (in order) in the three leftmost seats? any b) TOTAL c) Assume the theater-goers take their seats in a completely random fashion. Then each of the seating arrangements in part a) are equally likely. Find the probability that the three men end up seated in the three leftmost PROBABILITY: 2) (5pts) A 3-digit number will be formed using the digits 1, 2, 3. 4, 5; using each digit only once. a) How many possible 3-digit numbers are possible? TOTAL: Assume three of the digits are randomly chosen and randomly permuted in order to form the 3-digit number. Then each of the possible 3-digit numbers in part a) are equally likely. Find the probability that the 3-digit number ends up being an even number greater than or equal to 400? Hint: Partition the event that the number is even and greater than or equal to 400 into: the event that the number is even and between 400&499 inclusive the event that the number is even and greater than or equal to 500. b) (even numbers in [400,499]) __ ways (even numbers 500 or more) ways PROBABILTY](http://img.homeworklib.com/questions/17230bc0-3da8-11ea-8ad5-a1c5f15f4edf.png?x-oss-process=image/resize,w_560)
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Please answer 1 and 2 show all work!!!! 1) (6pts) Three married couples have purchased theater...
1) (5pts) Three married couples have purchased theater tickets and are seated in a row consisting...
1) (5pts) Three married couples have purchased theater tickets and are seated in a row consisting of just six seats. a) How many different seating arrangements are possible? TOTAL: b) How many difet seating arangements ave thethrce men (in any order) in the three leftmost seats? TOTAL: c) Assume the theater-goers take their seats in a completely random fashion. Then each of the seating arrangements in part a) are equally likely. Find the probability that the three men end up...
2) (5pts) A 3-digit number will be formed using the digits 1, 2, 3, 4, 5;...
2) (5pts) A 3-digit number will be formed using the digits 1, 2, 3, 4, 5; using each digit only once. a) How many possible 3-digit numbers are possible? TOTAL: b) Assume three of the digits are randomly chosen and randomly permuted in order to form the 3-digit number. Then each of the possible 3-digit numbers in part a) are equally likely. Find the probability that the 3-digit number ends up being an even number greater than or equal to...
t number will be formed using the digits 1,2, 3,4, 5; using each digit only once...
t number will be formed using the digits 1,2, 3,4, 5; using each digit only once How many possible 3-digit numbers are possible? a) TOTAL: three of the digits are randomly chosen and randomly permuted in b) Assume order to form the 3-digit number. Then each of the possible 3-digit numbers in part a) are equally likely. Find the probability that the 3-digit number ends up being an even number greater than or equal to 400? Hint: Partition the event...
Exercise 1.52. Three married couples (6 guests altogether) attend a dinner party. They sit at a...
Exercise 1.52. Three married couples (6 guests altogether) attend a dinner party. They sit at a round table randomly in such a way that each outcome is equally likely. What is the probability that somebody sits next to his or her spouse? Hint. Label the seats, the individuals, and the couples. There are 6! 720 seating arrangements altogether. Apply inclusion-exclusion to the events A, [ith couple sit next to each other),-1, 2, 3. Count carefully the numbers of arrangements in...
Exercise 1.52. Three married couples (6 guests altogether) attend a dinner party. They sit at a round table randomly in such a way that each outcome is equally likely. What is the probability that so...
Exercise 1.52. Three married couples (6 guests altogether) attend a dinner party. They sit at a round table randomly in such a way that each outcome is equally likely. What is the probability that somebody sits next to his or her spouse? Hint. Label the seats, the individuals, and the couples. There are 6! 720 seating arrangements altogether. Apply inclusion-exclusion to the events Ai = (ith couple sit next to each other2, 3. Count carefully the numbers of arrangements in...
discrete math do all please 2. Six people attend the theater together and sit in a...
discrete math do all please
2. Six people attend the theater together and sit in a row with exactly six seats. (a) In how many ways can they be seated together in the row? (b) Suppose one of the six is a doctor who must sit in a specific aisle seat in case she is paged. How many ways can the people be seated together in the row with the doctor in the aisle seat? (c) Suppose the six people...
Please answer entire question Probabilistic Models in Industrial Engineering Problem 2. (a) How many three-digit numbers...
Please answer entire question
Probabilistic Models in Industrial Engineering
Problem 2. (a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once? (Note: 062 is NOT a legit three-digit number) (b) How many of these are odd numbers? (c) How many are greater than 330?
PLEASE ANSWER ALL THE FOLLOWING. WORK DOES NOT NEED TO BE SHOWN 1There are 9 yellow...
PLEASE ANSWER ALL THE FOLLOWING. WORK DOES NOT NEED TO BE SHOWN 1There are 9 yellow and 5 red cards. If you randomly pick 6 cards, what is the probability that 4 of them are yellow? 2For the weekend, you plan to go to a park, eat at a restaurant, and see a movie. There are 4 parks, 5 restaurants, and 6 movie choices. How many different possible combinations are there? 3Form a group of 6 people, three people are...
discrete math 1. Suppose that three friends, all heavy smokers, each have a 50-50 chance of...
discrete math
1. Suppose that three friends, all heavy smokers, each have a 50-50 chance of developing lung cancer (a) Tracking whether each of the friends develops hung cancer, write down the sample space by listing its elements. Be clear about any notation that you choose to use. (b) What is the probability that exactly one of the friends develops lung cancer? (c) What is the probability that at least two of the friends develop lung cancer? 2. Six people...
will is playing a math game. He needs help to use the following clues to write a 5 digit number: 1.The number consists of 3 different digits 2.All digits are even numbers greater than zero 3.the value...
will is playing a math game. He needs help to use the following clues to write a 5 digit number: 1.The number consists of 3 different digits 2.All digits are even numbers greater than zero 3.the value of the ones digit is one tenth of the value in the tens digit 4.The value of the tenths digit is 10 times as much as the value of the hundreds digit 5.The sum of the tenths and hundredths digits is equal to...
1) (5pts) Three married couples have purchased theater tickets and are seated in a row consisting of just six seats. a) How many different seating arrangements are possible? TOTAL: b) How many difet seating arangements ave thethrce men (in any order) in the three leftmost seats? TOTAL: c) Assume the theater-goers take their seats in a completely random fashion. Then each of the seating arrangements in part a) are equally likely. Find the probability that the three men end up...
2) (5pts) A 3-digit number will be formed using the digits 1, 2, 3, 4, 5; using each digit only once. a) How many possible 3-digit numbers are possible? TOTAL: b) Assume three of the digits are randomly chosen and randomly permuted in order to form the 3-digit number. Then each of the possible 3-digit numbers in part a) are equally likely. Find the probability that the 3-digit number ends up being an even number greater than or equal to...
t number will be formed using the digits 1,2, 3,4, 5; using each digit only once How many possible 3-digit numbers are possible? a) TOTAL: three of the digits are randomly chosen and randomly permuted in b) Assume order to form the 3-digit number. Then each of the possible 3-digit numbers in part a) are equally likely. Find the probability that the 3-digit number ends up being an even number greater than or equal to 400? Hint: Partition the event...
Exercise 1.52. Three married couples (6 guests altogether) attend a dinner party. They sit at a round table randomly in such a way that each outcome is equally likely. What is the probability that somebody sits next to his or her spouse? Hint. Label the seats, the individuals, and the couples. There are 6! 720 seating arrangements altogether. Apply inclusion-exclusion to the events A, [ith couple sit next to each other),-1, 2, 3. Count carefully the numbers of arrangements in...
Exercise 1.52. Three married couples (6 guests altogether) attend a dinner party. They sit at a round table randomly in such a way that each outcome is equally likely. What is the probability that somebody sits next to his or her spouse? Hint. Label the seats, the individuals, and the couples. There are 6! 720 seating arrangements altogether. Apply inclusion-exclusion to the events Ai = (ith couple sit next to each other2, 3. Count carefully the numbers of arrangements in...
discrete math do all please
2. Six people attend the theater together and sit in a row with exactly six seats. (a) In how many ways can they be seated together in the row? (b) Suppose one of the six is a doctor who must sit in a specific aisle seat in case she is paged. How many ways can the people be seated together in the row with the doctor in the aisle seat? (c) Suppose the six people...
Please answer entire question
Probabilistic Models in Industrial Engineering
Problem 2. (a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, and 6 if each digit can be used only once? (Note: 062 is NOT a legit three-digit number) (b) How many of these are odd numbers? (c) How many are greater than 330?
discrete math
1. Suppose that three friends, all heavy smokers, each have a 50-50 chance of developing lung cancer (a) Tracking whether each of the friends develops hung cancer, write down the sample space by listing its elements. Be clear about any notation that you choose to use. (b) What is the probability that exactly one of the friends develops lung cancer? (c) What is the probability that at least two of the friends develop lung cancer? 2. Six people...
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