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.) 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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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I need help with 7, 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%.
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