Solve the problem.An insurance company says that at age 50 one must choose to take $10,000 at age 60, $30,000 at 70, or $50,000 at 80 ($0 death benefit). The probability of living from 50 to 60 is 0.87, from 50 to 70, 0.62, and from 50 to 80, 0.42. Find the expected value at each age.
A. 60: $6200
70: $18,600
80: $21,000
B. 60: $8700
70: $12,600
80: $21,000
C. 60: $8700
70: $26,100
80: $43,500
D. 60: $8700
70: $18,600
80: $21,000
Answer: D
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A. 
, 
, 
, 
B. 4, 
, 
, 
C. 
, 
, 
, 
D. 
, 
, 
, 