Applicants for a musical instrument manufacturer are asked to take a manual dexterity test. Past history has shown that only 25% of the applicants are able to finish the test in the allotted time. Two applicants are selected at random from the applicant pool.
a. What is the probability that both applicants finish the test in the allotted time?
________________________________________________________
b. Justify your answer.
______________
c. What is the probability the first applicant completes the test in the allotted time but the second applicant does not?
______________
d. Justify your answer.
________________________________________________________
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