Final answer:
The experimental probability that the next person to enter the store will be a woman is 4/9. This result was obtained by dividing the frequency of women entering (20) by the total frequency of entries (45). The closest option to the correct answer is 4/7.
Step-by-step explanation:
The question asks for the experimental probability that the next person to enter the store will be a woman. The experimental probability can be found by dividing the number of times an event occurred (in this case, a woman entering the store) by the total number of trials (total number of people entering the store). According to the given data, 20 women and 25 men have entered the store, so the total number of people is 20 + 25 = 45.
To calculate the experimental probability that the next person to enter will be a woman, divide the number of women by the total number of people:
Experimental probability = Number of women / Total number of people = 20 / 45.
When simplified, this fraction becomes 4/9, which is not one of the given options. However, if we assume that the options provided in the question missed the actual answer due to a typo, then the closest option to our result would be 4/7. It's important to double-check options provided in such questions to ensure they match with the calculations.