Tim has worked for one employer his entire career. While he was working, he participated in the employer's defined contribution plan $[$traditional $401($k$)].$ At the end of $2023,$ Tim retires. The balance in his defined contribution plan at the end of $2022$ was $$2,000,000.($Use Exhibit $13-3.)$

Note: Leave no answers blank. Enter zero if applicable.

EXHIBIT $13-3$ Abbreviated Uniform Lifetime Table for Distributions

Age of Participant Distribution Period Applicable Percentage$*$

$7227\mathrm{.}43\mathrm{.}65$

$7326\mathrm{.}53\mathrm{.}77$

$7425\mathrm{.}53\mathrm{.}92$

$7524\mathrm{.}64\mathrm{.}07$

$7623\mathrm{.}74\mathrm{.}22$

$7722\mathrm{.}94\mathrm{.}37$

$7822\mathrm{.}04\mathrm{.}55$

a$.$ What is Tim's required minimum distribution for $2023$ that must be distributed in $2024$ if he is $68$ years old at the end of $2023?$

b$-1.$ What is Tim's required minimum distribution for $2023$ if he turns $73$ during $2023?$

b$-2.$ When must he receive this distribution?

c$.$ What is Tim's required minimum distribution for $2023$ that must be distributed in $2024$ if he turns $75$ years old in $2023?$