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Abiding by Covid19 restrictions my local quilt shop is hosting a free seminar on the use of
Studio 180 tools. Attendance will require a reservation but they also expect a certain number of noshows. The Saturday morning class has room for 26 attendees. From this past Spring and Summer
events we’ve seen that if 30 tickets are reserved for the class, then the probability distribution for the
number who actually show up for the class is as shown in the table below:
Number who actually
Assume that 30 attendees have reserved a seat for this quilting class
(a) There are 26 seats available in this classroom. What is the probability that all students who
show up for this class will get a seat?
(b) Given that not all seats in this class are filled, what is the probability that only 23 students show
up for the class?
Quilts-on-the-Corner is considering purchasing a new HQ longarm quilting machine or a GL
longarm quilting machine(LAQ) . The HQ LAQ costs $29,800 and the GL LAQ costs $30,500. Quilts-onthe-Corner replaces their longarm quilting machines every five years. The 5-year repair contract for
the HQ costs $50 per month and covers an unlimited number of repairs. The repair for the GL costs
$150 per repair. The GL has a maintenance cost of $65 per year. Based on past performance, the
distribution of the number of repairs needed over any one-year period for the GL is shown below:
Number of Repairs
You are asked to give a recommendation based on overall cost as to which longarm; HQ or GL, along
with its repair contract, should be purchased. What would your recommendation be? Give a
statistical justification to support your recommendation.
3) Quilts-on-the-Corner LAQ department needs to completely longarm 33 quilts during each 8 hour
shift. The manager needs to know the total amount of LAQ time for the 33 quilts so that time can also
be scheduled for breaks during a shift. Quilt tops vary by size and complexity. The distribution of the
longarm quilting time, in minutes, is roughly symmetric with a mean quilting time length of 12.9 minutes
and a standard deviation of 18.1 minutes.
Describe the sampling distribution of the sample mean quilting time for random samples
of 33 quilt tops at Quilts-on-the-Corner.
If the manager schedules 45 minutes of breaks for the 8-hour shift only 435 minutes are
available for quilting time. Approximately what is the probability that the total amount of time
needed to quilt the 33 tops of randomly selected quilt tops exceed the available 8-hour shift?
Show your work!