Final answer:
The question requires statistical information such as the mean and standard deviation of the apple weights to calculate the probability. Without this information, it is not possible to compute an exact probability that the total weight of 4 randomly selected apples is more than 736 g.
Step-by-step explanation:
The question asks to find the probability that the total weight of 4 randomly selected apples is more than 736 g. To solve this problem, one would need to know the mean and standard deviation of the weights of the apples. Unfortunately, the necessary statistical information (mean and standard deviation) is not provided in the question, making it impossible to calculate the exact probability.
Typically, this type of problem would be solved using the normal distribution if we can assume that the weights of apples are normally distributed. A Z-score would be calculated using the formula Z = (X - μ) / (σ/√n), where 'X' is the total weight of interest, 'μ' is the mean weight of one apple, 'σ' is the standard deviation of the weight of one apple, and 'n' is the number of apples.
Since the necessary statistical information is not provided, it is recommended to look back at the source material or instructions given with the homework for this data or ask for clarification from the instructor.