For the following questions, please use $R$ commands to find solutions when

applicable. Please use Jupyter Notebook and submit Notebook File $(.$ipynb$)$ of

your notebook, including all code and results.

$)$

Please follow the steps on slides to set up your anaconda. You should be able to

run the class Jupyter notebook successfully.

Try to resolve any issues you may have. I encourage discussion and help each

other on the installation. Google is also a good resource.

It is your job to set up the environment on your computer. I am not familiar with

your computer so I won't do your homework for you.

You will take full responsibility of your dev environment during exams, i$.$e$.,$ if

your Jupyter doesn't work during exams, you know how to quickly fix it or you

lose time.

$1\mathrm{.}20$ The built$-$in data set islands contains the size of the world's land masses that

exceed $10,000$ square miles. Use sort$()$ with the argument decreasing$=$TRUE to

find the seven largest land masses.

For Example, the expected solution is

$>$ sort$($islands$,$ decreasing$=$TRUE$)[1$:$7]$

$1\mathrm{.}21$ Load the data set primes $($UsingR$).$ This is the set of prime numbers in

$1,2003.$ How many are there? How many in the range $1,100?100,1000?$

$1\mathrm{.}22$ Load the data set primes $($UsingR$).$ We wish to find all the twin primes. These

are numbers $p$ and $p+2,$ where both are prime.

Explain what primes $-1$ returns.If you set $n=$ length $($primes$),$ explain what primes $-n$ returns.

Why might primes $[-1]-$ primes $-n$ give clues as to what the twin primes

are?

How many twin primes are there in the data set?

$1\mathrm{.}23$ For the data set treering, which contains tree$-$ring widths in dimension$-$less

units, use an $R$ function to answer the following:

How many observations are there?

Find the smallest observation.

Find the largest observation.

How many are bigger than $1\mathrm{.}5?$

$1\mathrm{.}24$ The data set mandms $($UsingR$)$ contains the targeted color distribution in a

bag of M&Ms as percentages for varies types of packaging. Answer these

questions.

Which packaging is missing one of the six colors?

Which types of packaging have an equal distribution of colors?

Which packaging has a single color that is more likely than all the others? What

color is this?

$1\mathrm{.}25$ The $t$ imes variable in the data set nym$.2002($UsingR$)$ contains the time to

finish for several participants in the $2002$ New York City Marathon. Answer these

questions.

How many times are stored in the data set?

What was the fastest time in minutes? Convert this into hours and minutes using $R.$

What was the slowest time in minutes? Convert this into hours and minutes using $R.$

$1\mathrm{.}26$ For the data set rivers, which is the longest river? The shortest?

$1\mathrm{.}27$ The data set uspop contains decade$-$by$-$decade population figures for the

United States from $1790$ to $1970.$

Use names $0$ and seq $0$ to add the year names to the data vector.

Use diff$()$ to find the inter$-$decade differences. Which decade had the greatest increase?

Explain why you could reasonably expect that the difference will always increase with each

decade. Is this the case with the data?