3. A coworker offers you the following deal. For a $10 fee, you may pick an envelope from a box containing 100 seemingly identical envelopes. However, each envelope contains a coupon for a free gift....

3. A coworker offers you the following deal. For a $10 fee, you may pick an envelope from a box containing 100 seemingly identical envelopes. However, each envelope contains a coupon for a free gift.

• Ten of the coupons are for a free gift worth $6.

• Eighty of the coupons are for a free gift worth $8.

• Six of the coupons are for a free gift worth $12.

• Four of the coupons are for a free gift worth $40.

a. Define the random variable.