The wedding date for a couple is quickly approaching, and the wedding planner must provide the caterer an estimate of how many people will attend the reception so that the appropriate quantity of food is prepared for the buffet. The following table contains information on the number of RSVP guests for the 145 invitations. Unfortunately, the number of guests does not always correspond to the number of RSVPed guests. Based on her experience, the wedding planner knows it is extremely rare for guests to attend a wedding if they notified that they will not be attending. Therefore, the wedding planner will assume that no one from these 50 invitations will attend. The wedding planner estimates that the each of the 25 guests planning to come solo has a 74% chance of attending alone, a 20% chance of not attending, and a 6% chance of bringing a companion. For each of the 60 RSVPS who plan to bring a companion, there is a 90% chance that they will attend with a companion, a 4% chance of attending solo, and a 6% chance of not attending at all. For the 10 people who have not responded, the wedding planner assumes that there is an 79% chance that each will not attend, a 16% chance each will attend alone, and a 5% chance each will attend with a companion. RSVPed Guests 0 1 2 No response Number of Invitations 50 25 60 10 (a) Assist the wedding planner by constructing a spreadsheet simulation model to determine the expected number of guests who will attend the reception. (Use at least 1,000 trials. Round your answer to the nearest integer.) (b) To be accommodating hosts, the couple has instructed the wedding planner to use the Monte Carlo simulation model to determine X, the minimum number of guests for which the caterer should prepare the meal, so that there is at least a 90% chance that the actual attendance is less than or equal to X. What is the best estimate for the value of X? (Use at least 1,000 trials. Round your answer to the nearest integer.)
The wedding date for a couple is quickly approaching, and the wedding planner must provide the caterer an estimate of how many people will attend the reception so that the appropriate quantity of food is prepared for the buffet. The following table contains information on the number of RSVP guests for the 145 invitations. Unfortunately, the number of guests does not always correspond to the number of RSVPed guests. Based on her experience, the wedding planner knows it is extremely rare for guests to attend a wedding if they notified that they will not be attending. Therefore, the wedding planner will assume that no one from these 50 invitations will attend. The wedding planner estimates that the each of the 25 guests planning to come solo has a 74% chance of attending alone, a 20% chance of not attending, and a 6% chance of bringing a companion. For each of the 60 RSVPS who plan to bring a companion, there is a 90% chance that they will attend with a companion, a 4% chance of attending solo, and a 6% chance of not attending at all. For the 10 people who have not responded, the wedding planner assumes that there is an 79% chance that each will not attend, a 16% chance each will attend alone, and a 5% chance each will attend with a companion. RSVPed Guests 0 1 2 No response Number of Invitations 50 25 60 10 (a) Assist the wedding planner by constructing a spreadsheet simulation model to determine the expected number of guests who will attend the reception. (Use at least 1,000 trials. Round your answer to the nearest integer.) (b) To be accommodating hosts, the couple has instructed the wedding planner to use the Monte Carlo simulation model to determine X, the minimum number of guests for which the caterer should prepare the meal, so that there is at least a 90% chance that the actual attendance is less than or equal to X. What is the best estimate for the value of X? (Use at least 1,000 trials. Round your answer to the nearest integer.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The wedding date for a couple is quickly approaching, and the wedding planner must provide the caterer an estimate of how many people will attend the reception so that
the appropriate quantity of food is prepared for the buffet. The following table contains information on the number of RSVP guests for the 145 invitations. Unfortunately,
the number of guests does not always correspond to the number of RSVPed guests.
Based on her experience, the wedding planner knows it is extremely rare for guests to attend a wedding if they notified that they will not be attending. Therefore, the
wedding planner will assume that no one from these 50 invitations will attend. The wedding planner estimates that the each of the 25 guests planning to come solo has a
74% chance of attending alone, a 20% chance of not attending, and a 6% chance of bringing a companion. For each of the 60 RSVPs who plan to bring a companion,
there is a 90% chance that they will attend with a companion, a 4% chance of attending solo, and a 6% chance of not attending at all. For the 10 people who have not
responded, the wedding planner assumes that there is an 79% chance that each will not attend, a 16% chance each will attend alone, and a 5% chance each will attend
with a companion.
RSVPed Guests
0
1
2
No response
Number of Invitations
50
25
60
10
(a) Assist the wedding planner by constructing a spreadsheet simulation model to determine the expected number of guests who will attend the reception. (Use at least
1,000 trials. Round your answer to the nearest integer.)
(b) To be accommodating hosts, the couple has instructed the wedding planner to use the Monte Carlo simulation model to determine X, the minimum number of guests
for which the caterer should prepare the meal, so that there is at least a 90% chance that the actual attendance is less than or equal to X. What is the best estimate
for the value of X? (Use at least 1,000 trials. Round your answer to the nearest integer.)
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