Step 1 :Given that the probability of making a sale on any given call is 0.14, we are asked to find the probability of making a sale on the first, second, or third call.
Step 2 :We can calculate this using the geometric distribution formula for each of the three calls and then adding the results together. The geometric distribution formula is: \(P(X = k) = (1 - p)^{(k - 1)} * p\), where \(p\) is the probability of success (in this case, making a sale), \(k\) is the number of trials until the first success, and \(P(X = k)\) is the probability of the first success occurring on the \(k\)th trial.
Step 3 :Let's calculate the probability for each call: \(p = 0.14\)
Step 4 :For the first call, the probability is \(0.14\)
Step 5 :For the second call, the probability is \((1 - 0.14)^{(2 - 1)} * 0.14 = 0.1204\)
Step 6 :For the third call, the probability is \((1 - 0.14)^{(3 - 1)} * 0.14 = 0.103544\)
Step 7 :Adding these probabilities together gives us the total probability of making a sale on the first, second, or third call: \(0.14 + 0.1204 + 0.103544 = 0.363944\)
Step 8 :Rounding to three decimal places, the final answer is \(\boxed{0.364}\)