A dentist has 400 male and female patients that range in ages from 10 years old to 50 years old and up as shown in the table. What is the experimental probability that the next patient will be female and in the age range 22-39?
no table ----> no answer
To find the experimental probability, we need to determine the number of favorable outcomes and divide it by the total number of outcomes. In this case, we want to find the probability of the next patient being female and in the age range 22-39.
To calculate the number of favorable outcomes, we need to find the number of female patients in the age range 22-39. Looking at the given table, we can see that there are 150 females in total, distributed across the different age groups. However, we need to determine how many fall within the specific age range of 22-39.
Taking a closer look at the table, let's focus on the 20-29 and 30-39 age groups, as they encompass the desired age range. We can see that within the 20-29 age group, there are 80 females, and within the 30-39 age group, there are 60 females. Therefore, the number of favorable outcomes is 80 + 60 = 140.
Next, we need to find the total number of outcomes, which is given as 400 patients in total.
Finally, we can calculate the experimental probability by dividing the number of favorable outcomes (140) by the total number of outcomes (400):
Experimental Probability = Number of Favorable Outcomes / Total Number of Outcomes
= 140 / 400
= 0.35
Therefore, the experimental probability that the next patient will be female and in the age range 22-39 is 0.35, or 35%.