To find the probability of collision for the first 10 records, we need to sum up the individual probabilities of collision for each record.
P(collision for first 10 records) = P(collision for first record) + P(collision for second record) + ... + P(collision for tenth record)
P(collision for first 10 records) = 0 + 1/100 + 2/100 + ... + 9/100
This can be simplified as: P(collision for first 10 records) = (1/100)(1 + 2 + 3 + ... + 9)
The sum of the first 9 positive integers is given by the formula n(n+1)/2, where n is the number of terms.
Therefore, P(collision for first 10 records) =
(1/100)(9(9+1)/2)
= (1/100)(9*10/2)
= 45/100
= 0.45