Answer:
Step-by-step explanation:
Given that:
X(t) = be the number of customers that have arrived up to time t.
... = the successive arrival times of the customers.
(a)
Then; we can Determine the conditional mean E[W1|X(t)=2] as follows;
Now 
(b) We can Determine the conditional mean E[W3|X(t)=5] as follows;
Now; 
(c) Determine the conditional probability density function for W2, given that X(t)=5.
So ; the conditional probability density function of 
given that X(t)=5 is:
The amount of money he will be able to withdraw after 10 years after his last deposit is $926,400.
<h3>Compound interest</h3>
- Principal, P = $2,000 × 12 × 4
= $96,000
- Time, t = 10 years
- Interest rate, r = 24% = 0.24
- Number of periods, n = 2
A = P(1 + r/n)^nt
= $96,000( 1 + 0.24/2)^(2×10)
= 96,000 (1 + 0.12)^20
= 96,000(1.12)^20
= 96,000(9.65)
= $926,400
Therefore, the amount of money he will be able to withdraw after 10 years after his last deposit is $926,400
Learn more about compound interest:
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Let “x” represent the cost of the dryer in dollars
The washer costs 3x dollars
3x + x = 1000
4x = 1000
x = 250
The dryer is $250
