An insurance company sells $300 deductible annual automobile insurance policies to a certain category (age, driving records) for $1000.00 The insurance company has set four different accident types, and the probabilities associated with each accident type are given in the table below:
Type of accident Probability
No accident 0.98
Damage caused=$1000 0.01
Damage caused=$3000 0.005
Damage caused=$5000 0.004
Damage caused=$10000 0.001
Let X be the net gain in the insurance company. Construct a tabular probability distribution for X.