Leroi’s account
$100
After first deposit = $100+$10=$110
After second deposit= $110 + $10 = $120
Sylvia’s account
$100
10% of $100 is $10
After first deposit = $100+ $10 = $110
10% of $110 = $11
After second deposit = $110 + $11 = $121
Therefore after their first deposit, both will have the same value in their accounts.
But after the second deposit, Sylvia will have 1$ more in her account than Leroi.
x=2.514
To get this andeer you must divide 88 and 35 by 35 to make sure that only x and 2.514 are left over.
Answer:
Expected value of profit is ≅ $15.80
Step-by-step explanation:
from the Question,
Let the variable X represents the expected value of profit. X is called as random variable because picking a number from 000-999 digits is a Random process.
P(win) = 
So, P(lose) = 
Suppose that,
we really want to win this lottery. so we can go to the store and spend $1000 to buy all ticket (from 000 - 999). This would ensure your winning of $500 with one of the tickets (for a $499 profit), but the other 999 would be losers (for a $999 loss).
What would be your average winnings on a per-ticket basis?
∑

= 
Here,
Standard deviation of the expected winnings
∑
= ∑ 

Taking square root of the variance to get the standard deviation:
SD(x) = 
≅ $15.80
Hence
The expected value of profit is ≅ $15.80