If you were applying for a job and the boss said: “We have 7 employees and the average salary is $100,000,” would you hope that “average” refers to the mean, the median, or the mode salary? Why?

M7 Problem Set
Do all three problems below. Submit your answers in the assignment drop
box.
1. What does the law of large numbers
(Bernoulli) predict will be the percentage of heads if you flip a coin many
times.
a. If you flip
a coin 500 times, about how many heads would you predict?
b. Flip a coin
100 times. How many heads did you
get? What is the percentage of heads? (Yes, really, flip a coin.)
c. Flip the
coin 100 more times. How many heads did
you get? What is your percentage of
heads for the 200 flips?
d. Flip the
coin 300 more times. What is the
percentage of heads for all 500 flips? Is this more or less than is expected?
2. If you were applying for a job and
the boss said: “We have 7 employees and the average salary is $100,000,” would
you hope that “average” refers to the mean, the median, or the mode salary? Why?
2. You will need to have a separate sketch for
calculus, one of the all-time great mathematical discoveries/inventions. Write your own 1-2 page sketch of the history
of calculus. Be sure to include
reference to at least one non-European culture, as well as key elements in the
European development of what we now know as calculus. Finish off your report by discussing one
current application of calculus. Please do cite sources.

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