Calculate the expectation $($to the nearest cent$)$ for the Reader's Digest sweepstakes described. Assume there are $177,000,000$ entries.

$

$$10,500,000,00$

SWEEPSTAREES EENUTMY DOCUMIENT

Official Disclosure of Dates

To be eligible to win the FIVE MILION DOLLAR Grand Prize, you must return the attached Sweepstakes Entry Document by August $19,1991.$ Failure to respond by that date will result in the forfeiture of Grand Prize eligibility. To be eligible to win any of $58,567$ other prizes $($but not the Grand Prize$),$ return your Sweepstakes Entry Document by March $2,1992.$

Grand Prize Distribution Information If you are chosen Grand Prize winner, you will receive FIVE MILLION

DOLARS in your choice of payment options: Either $30$ equal yearly payments of $$167,000\mathrm{.}00$ each $OR360$ equal monthly payments of $$14,000\mathrm{.}00$ each. You must specify your choice of payment option now by detaching the

appropriate seal at left and affixing it onto the box provided on your Sweepstakes Entry Document.

OFFICIAL PRIZE LIST

$1$ First Prize...................... $$100,000\mathrm{.}002$ Second Prizes.................. $$50,000\mathrm{.}00$

$3$ Third Prizes.................... $$20,000\mathrm{.}004$ Fourth Prizes..................... $$5,000\mathrm{.}0010$ Fifth Prizes.............................. $$500\mathrm{.}00400$ Sixth Prizes..................... $$100\mathrm{.}0058,147$ Seventh Prizes..........Winner's choice of a "Special Edition" Men's or Women's Wristwatch, an $$89\mathrm{.}00$ approximate retail value.

SWEEPSTAKES DIRECTOR