A group of 11 people arrived at a motel where ten rooms are available in a...
A group of 11 people arrived at a motel where ten rooms are available in a row. You are looking to stay "in a row" with three friends (so, 4 of you in total), while seven other people can be allocated however. One room is given to exactly one person a) how large is the sample space? b) What is the probability that the 4 friends sit next to each other? c) What is the probability that at least three friends sit next to each other?
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A group of 11 people arrived at a motel where ten rooms are
available in a...
Eleven students arrive at a motel, which has ten vacant rooms. You want to stay with...
Eleven students arrive at a motel, which has ten vacant rooms. You want to stay with 3 friends in a row (LE four in total), while the remaining seven students are allocated in whichever way. Each student will receive exactly one room. (Hint. Consider another room called 'street to work with 11 students and ll rooms”). 1) How large is the sample space? 2) What is the probability that the 4 friends stay in a row? 3) What is the...
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...
QUESTION 1. The Bates Motel has 12 rooms available to rent this evening, but they have overbooked and made 14 room reservations. The probability a person cancels their room reservation is 0.11 independent of each other person. Let X represent the number o
QUESTION 1. The Bates Motel has 12 rooms available to rent this evening, but they have overbooked and
made 14 room reservations. The probability a person cancels their room reservation is 0.11 independent of
each other person. Let X represent the number of room reservations that are cancelled for this evening.
(a) What is the probability distribution of X? State the name of the probability distribution and the value(s) of
any relevant parameter(s).
(b) How many room reservations would you...
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...
The soccer team's shirts have arrived in a big box, and people just start grabbing them,...
The soccer team's shirts have arrived in a big box, and people just start grabbing them, looking for the right size. The box contains 6 medium, 11 large, and 10 extra-large shirts. A player wants a medium for himself and one for his sister. Find the probability of each event described. Complete parts a through d below. a) The first two you grab are the wrong sizes. b) The first medium shirt you find is the third one you check....
4. Consider a chessboard, shown below. At starting at the square al (the lower right hand...
4. Consider a chessboard, shown below. At starting at the square al (the lower right hand corner), you can go one step up or one step right at each move. The procedure stops until the point h8 (the upper right corner) is reached. a) How many different paths from al to h8 are possible? (b) How many differnt paths from al to h8 are possible if each path must pass through the square e4? 5. If 10 new teachers are...
PROBLEM # PAGE1 Forty percent of a group of people are female and sixty democrats and...
PROBLEM # PAGE1 Forty percent of a group of people are female and sixty democrats and 48% of males are democrats. A person is randomly selected from the group. (A) [10 points) What is the probability that the selected person is a democrat? (B) (10 points] If the person selected is found to be a democrat, what is the probability that this person is male? (C) (10 points) What is the probability that the person selected is a female democrat?...
Consider a group ofn 4 people, numbered from l to n. For each pair (i, j)...
Consider a group ofn 4 people, numbered from l to n. For each pair (i, j) with ǐ关į person i and person J are friends, with probability p. Friendships are independent for different pairs. These n people are seated around a round table. For convenience, assume that the chairs are numbered from 1 to n, clockwise, with n located next to 1, and that person i seated in chair i. In particular, person 1 and person n are seatec next...
15to25 15.How many ways are there to seat ten people around a circular table where two seatings are considered the s...
15to25
15.How many ways are there to seat ten people around a circular table where two seatings are considered the same when every one has the same immediate left and immediate right neighbor? 16.In how many ways can a photographer at a wedding arrange six people in a row, including the bride and groom, if a) the bride must be next to the groom? b) the bride is not next to the groom? 17.How many bit strings of length seven...
While vacationing in England, you decide to take an impromptu trip outside of London to see some ...
While vacationing in England, you decide to take an impromptu trip outside of London to see some of the country. You phone several hotels in the area but are told that all rooms are reserved. You and your friends decide to go anyway, vowing that if worse comes to worse you will all sleep in the car. Having driven the 100 miles from London, you stop at the first hotel you see, Ye Olde Ox and Bow, and are surprised...
Eleven students arrive at a motel, which has ten vacant rooms. You want to stay with 3 friends in a row (LE four in total), while the remaining seven students are allocated in whichever way. Each student will receive exactly one room. (Hint. Consider another room called 'street to work with 11 students and ll rooms”). 1) How large is the sample space? 2) What is the probability that the 4 friends stay in a row? 3) What is the...
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...
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...
4. Consider a chessboard, shown below. At starting at the square al (the lower right hand corner), you can go one step up or one step right at each move. The procedure stops until the point h8 (the upper right corner) is reached. a) How many different paths from al to h8 are possible? (b) How many differnt paths from al to h8 are possible if each path must pass through the square e4? 5. If 10 new teachers are...
PROBLEM # PAGE1 Forty percent of a group of people are female and sixty democrats and 48% of males are democrats. A person is randomly selected from the group. (A) [10 points) What is the probability that the selected person is a democrat? (B) (10 points] If the person selected is found to be a democrat, what is the probability that this person is male? (C) (10 points) What is the probability that the person selected is a female democrat?...
Consider a group ofn 4 people, numbered from l to n. For each pair (i, j) with ǐ关į person i and person J are friends, with probability p. Friendships are independent for different pairs. These n people are seated around a round table. For convenience, assume that the chairs are numbered from 1 to n, clockwise, with n located next to 1, and that person i seated in chair i. In particular, person 1 and person n are seatec next...
15to25
15.How many ways are there to seat ten people around a circular table where two seatings are considered the same when every one has the same immediate left and immediate right neighbor? 16.In how many ways can a photographer at a wedding arrange six people in a row, including the bride and groom, if a) the bride must be next to the groom? b) the bride is not next to the groom? 17.How many bit strings of length seven...
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