Answer: The experimental probability is 62.5%.
Step-by-step explanation: Given that for the past 40 days, Naomi has been recording the number of customers at her restaurant between 10:00 a.m. and 11:00 a.m.
From 10:00 a.m. to 11:00 a.m, there have been fewer than 20 customers on 25 out of the 40 days.
We are to find the experimental probability that there will be fewer than 20 customers on the forty-first day.
We have,
theoretical probability of having fewer than 20 customers on 25 out of the 40 days is given by
[tex]P_t=\dfrac{25}{40}=\dfrac{5}{8}=62.5\%.[/tex]
We know that the experimental probability generally gets closer to the theoretical probability as more trials are conducted.
Since there were already 40 days crossed, the experimental probability on forty first day will be equal to the theoretical probability of the last forty days.
Thus, the required experimental probability that there will be fewer than 20 customers on the forty-first day is 62.5%.
