To get a driver's license, an applicant must pass a written test and a driving test. Past 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, how many applicants in a random group of 1,000 applicants would you expect to get driver's licenses?

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jitumahi76 jitumahi76 · Answer 1 · 2020-03-12T06:02:30+01:00

Answer:

We can expect 480 applicants to get the driving licenses in a random group of 1000 applicants.

Step-by-step explanation:

Given:

Total Number of Applicants = 1000

We need to find the number of applicants from the random group will get the driving license.

Solution:

Now given that;

80% of the applicants pass the written test.

So we can say that;

Number of applicants pass the written test is equal to 80% of the Total Number of Applicants.

framing in equation form we get;

Number of applicants pass the written test = [tex]\frac{80}{100}\times 1000 =800[/tex]

Also Given:

60% of those who have passed the written test pass the driving test.

So we can say that;

Number of applicants pass the driving test is equal to 60% of the Number of applicants pass the written test.

framing in equation form we get;

Number of applicants pass the driving test = [tex]\frac{60}{100}\times 800 =480[/tex]

Hence We can expect 480 applicants to get the driving licenses in a random group of 1000 applicants.