Final answer:
The probability of the sum of 75 scores being less than 200 is close to zero.
Step-by-step explanation:
To answer this question, we need to use the properties of the normal distribution. Given that the population mean is 75 and the standard deviation is 4.5, and assuming that the sample size is 100, we can calculate the probability that the sum of 75 scores is less than 200 using the normalcdf function. The probability is close to zero, indicating that it is highly unlikely for the sum of the scores to be less than 200.