Question

By the third day of a particular week, 2 accidents have already occurred in the intersection. What is the probability that there will be less than a total of 4 accidents during that week?

1) Cannot be determined
2) 0.125
3) 0.375
4) 0.625

Answer 1

To find the probability of less than 4 accidents during the week, we can calculate the probabilities for different numbers of accidents on the remaining days. By summing up these probabilities, we can determine the probability of less than 4 accidents.

Step-by-step explanation:

To find the probability that there will be less than a total of 4 accidents during the week, we need to consider the number of accidents that can occur on each day. Given that 2 accidents have already occurred by the third day, we can calculate the probability for the remaining days.

Now, add up the probabilities for each case to find the probability of less than 4 accidents:

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) ≈ 0.4236

Therefore, the probability that there will be less than a total of 4 accidents during the week is approximately 0.4236.