On September $29,2005,$ John Roberts was sworn in as the Chief Justice of the United States. Since $1869$ there have been nine justices at any one time on the Supreme Court of the United States: one chief justice and eight associate justices. $($Prior to that time, the number of justices varied from six to ten.$)$ From the court's inception in $1789$ to the present day, $17$ men have served as chief justice of the Supreme Court, including Justice Roberts. The previous $16$ chief justices are listed in the table below, along with the length of their tenure $($in days$).$ This data was retrieved from the Web site of the Supreme Court $($

www$.$supremecourtus.gov$).($You should use R for this problem. Please be extra careful to avoid typos when you are computing these values $--$ take your time$)$

$\backslash$table$[[$chief justice,tenure$],[$John Jay,$2079],[$John Rutledge,$125],[$Oliver Ellsworth,$1742],[$John Marshall,$12542],[$Roger B$.$ Taney,$10425],[$Salmon P$.$ Chase,$3065],[$Morrison R$.$ Waite,$5133],[$Melville W$.$ Fuller,$7938],[$Edward D$.$ White,$3804],[$William Howard Taft,$3129],[$Charles E$.$ Hughes,$4144],[$Harlan F$.$ Stone,$1754],[$Frederick M$.$ Vinson,$2633],[$Earl Warren,$5740],[$Warren E$.$ Burger,$6304],[$William H$.$ Rehnquist,$6917]]$