To get a driver's license, an applicant must pass a written test and a driving test. Pasts records show that 80% of the applicants pass the written test and 60% of those who have passed the written test pass the driving test. Based on these figures, how many applicants in a random group of 1,000 applicants would you expect to get driver's licenses?
480
Ha! I didn't know it was that easy, thank you
0.8 * 0.6 * 1,000 = ?
:-)
You're welcome.
To determine how many applicants in a random group of 1,000 applicants would be expected to get driver's licenses, we need to utilize the given probabilities.
First, let's calculate the number of applicants who pass the written test. Since 80% of the applicants pass the written test, we can multiply the total number of applicants (1,000) by the probability of passing the written test (0.80):
Number of applicants passing the written test = 1,000 * 0.80 = 800
Next, let's calculate the number of applicants who pass both the written and driving tests. We know that 60% of those who have passed the written test pass the driving test. So we multiply the number of applicants passing the written test (800) by the probability of passing the driving test (0.60):
Number of applicants passing both tests = 800 * 0.60 = 480
Therefore, in a random group of 1,000 applicants, we would expect approximately 480 applicants to get driver's licenses.