Homework Help is Here – Start Your Trial Now!
Math
Statistics
The number of fan letters received by a band each month is distributed normally, with a mean of 6.5 and a standard deviation of 2.5. Use the Z calculator to answer the questions below: 6a) Use continuity correction to determine the probability that the band receives no more than 5 fan letters in a given month. Round to the nearest 0.1%. 6b) Calculate the probability that the average number of fan letters per month which the band receives over a 10-month period at least 7. Round to the nearest 0.1%. MM

The number of fan letters received by a band each month is distributed normally, with a mean of 6.5 and a standard deviation of 2.5. Use the Z calculator to answer the questions below: 6a) Use continuity correction to determine the probability that the band receives no more than 5 fan letters in a given month. Round to the nearest 0.1%. 6b) Calculate the probability that the average number of fan letters per month which the band receives over a 10-month period at least 7. Round to the nearest 0.1%. MM

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
See similar textbooks
icon
Related questions
Question
100%

I need help with 6a and 6b, thank you!

The number of fan letters received by a band each month is distributed normally, with a mean of 6.5 and a standard deviation of 2.5. Use the Z calculator to answer the questions below: Clael 6a) Use continuity correction to determine the probability that the band receives no more than 5 fan letters in a given month. Round to the nearest 0.1%. MM 6b) over a 10-month period at least 7. Round to the nearest 0.1%. MM Calculate the probability that the average number of fan letters per month which the band receives 7) You have a fruit stand. At the beginning of each week, you order some fruit, and sell it retail at a 100% markup. For example, a piece of fruit that you sell retail for $5 cost you $2.50. At the end of the week, any fruit not sold is sold to a juicer for 40% of what you paid for it (or 20% of the retail price). (For example, you pay $2.50 for a piece of fruit, which you can sell retail for $5, but if you don't sell it retail you can sell it to a juicer for $1.) a The average amount of fruit that your customers want to purchase that week is $10,000 (Retail. In other words, you paid 5,000 for it.). This amount is distributed normally, with a standard deviation of $1,000. To maximize your long term profits, how much fruit (in terms of retail price) should you purchase each week? Round, if necessary, to the nearest $10. long You are auditioning lead guitarists, in random order, for a project band. 35 people have signed up to 8) audition, of which you will consider exactly 5 to be a good fit. What is the probability that you find the first person who auditions to be a good fit, then none of the next six people to be a good fit? Round to the nearest 0.1%.
Transcribed Image Text:The number of fan letters received by a band each month is distributed normally, with a mean of 6.5 and a standard deviation of 2.5. Use the Z calculator to answer the questions below: Clael 6a) Use continuity correction to determine the probability that the band receives no more than 5 fan letters in a given month. Round to the nearest 0.1%. MM 6b) over a 10-month period at least 7. Round to the nearest 0.1%. MM Calculate the probability that the average number of fan letters per month which the band receives 7) You have a fruit stand. At the beginning of each week, you order some fruit, and sell it retail at a 100% markup. For example, a piece of fruit that you sell retail for $5 cost you $2.50. At the end of the week, any fruit not sold is sold to a juicer for 40% of what you paid for it (or 20% of the retail price). (For example, you pay $2.50 for a piece of fruit, which you can sell retail for $5, but if you don't sell it retail you can sell it to a juicer for $1.) a The average amount of fruit that your customers want to purchase that week is $10,000 (Retail. In other words, you paid 5,000 for it.). This amount is distributed normally, with a standard deviation of $1,000. To maximize your long term profits, how much fruit (in terms of retail price) should you purchase each week? Round, if necessary, to the nearest $10. long You are auditioning lead guitarists, in random order, for a project band. 35 people have signed up to 8) audition, of which you will consider exactly 5 to be a good fit. What is the probability that you find the first person who auditions to be a good fit, then none of the next six people to be a good fit? Round to the nearest 0.1%.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
SEE MORE TEXTBOOKS