Final answer:
The probability of reporting exactly 2 car thefts in a day can be calculated using the binomial probability formula.
Step-by-step explanation:
The probability of reporting exactly 2 car thefts in a day can be calculated using the binomial probability formula. The formula is: P(X=k) = (nCk) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successes, p is the probability of success, and nCk is the combination. In this case, n = 1 (one day), k = 2 (exactly 2 car thefts), and p = 0.375 (probability of car thefts). Plugging in the values, we get: P(X=2) = (1C2) * 0.375^2 * (1-0.375)^(1-2) = 1 * 0.375^2 * 0.625^-1 = 0.3281 * 0.625^-1 = 0.3281 * 1.6 = 0.52496. So, the probability of reporting exactly 2 car thefts in a day is approximately 0.525.