2) [6] Each month, a large music store sells an average of 360 guitars, with a standard deviation of 80. What level of monthly sales (in terms of guitars sold) is so low that you expect sales at or below this level to happen only once every two years (no more and no less)? Assume the guitar sales are stable over the long term and distributed normally. Round your answer appropriately to the nearest integer.
2) [6] Each month, a large music store sells an average of 360 guitars, with a standard deviation of 80. What level of monthly sales (in terms of guitars sold) is so low that you expect sales at or below this level to happen only once every two years (no more and no less)? Assume the guitar sales are stable over the long term and distributed normally. Round your answer appropriately 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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i need help on 2, 3a, 3b, and 4
![2) [6] Each month, a large music store sells an average of 360 guitars, with a standard deviation of 80. What level of monthly sales (in terms of guitars sold) is so low that you expect sales at or below this level to happen only once every two years (no more and no less)? Assume the guitar sales are stable over the long term and distributed normally. Round your answer appropriately to the nearest integer.
A band has discovered that, on average, people who go to a band’s show have a 60% chance of coming back to their next show in that city. It goes to Portland for the first time, and plays a show for 150 people.
3a) [6] If under 56% of people in the audience come back to the band’s next show, the band does not consider the first show a success. What is the probability that the band will consider the first Portland show a success? (Use the Binomial Distribution Calculator for both this and part b below.) Round to the nearest 0.1%.
3b) [6] What is the probability that between 85 and 105 (inclusive) of these people come to the next show they play in Portland? (Hint: Goldilocks) Round to the nearest 0.1%.
4) [8] A guitar player has a box of replacement B-strings. Of these, 5 are badly made and will break at her next gig (at which point she switches to her backup guitar for the rest of that gig), while the other 10 will remain intact for at least one gig. She puts one of these strings on her guitar. What is the probability that she will make it through at least one of her next three gigs without her B-string breaking? Round to the nearest 0.1%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3bcfcca9-e367-40c4-ac30-00dec658a059%2Fb2620131-3a48-452d-9896-b62ec4003be5%2Fpdf4go9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2) [6] Each month, a large music store sells an average of 360 guitars, with a standard deviation of 80. What level of monthly sales (in terms of guitars sold) is so low that you expect sales at or below this level to happen only once every two years (no more and no less)? Assume the guitar sales are stable over the long term and distributed normally. Round your answer appropriately to the nearest integer.
A band has discovered that, on average, people who go to a band’s show have a 60% chance of coming back to their next show in that city. It goes to Portland for the first time, and plays a show for 150 people.
3a) [6] If under 56% of people in the audience come back to the band’s next show, the band does not consider the first show a success. What is the probability that the band will consider the first Portland show a success? (Use the Binomial Distribution Calculator for both this and part b below.) Round to the nearest 0.1%.
3b) [6] What is the probability that between 85 and 105 (inclusive) of these people come to the next show they play in Portland? (Hint: Goldilocks) Round to the nearest 0.1%.
4) [8] A guitar player has a box of replacement B-strings. Of these, 5 are badly made and will break at her next gig (at which point she switches to her backup guitar for the rest of that gig), while the other 10 will remain intact for at least one gig. She puts one of these strings on her guitar. What is the probability that she will make it through at least one of her next three gigs without her B-string breaking? Round to the nearest 0.1%.
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