A company covers a basic life insurance policy to its employees, as well as a supplemental life insurance policy. To purchase the supplemental policy, an employee must first purchase the basic policy. Let X denote the proportion of employees who purchase the basic policy, and Y the proportion of employees who purchase the supplemental policy. Let X and Y have the joint density function 0 < y < x < 1 f (x, y) = 2(x + y) Given that 10% of the employees buy the basic policy, what is the probability that fewer than 5% buy the supplemental policy? %3D Select ono:

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A company covers a basic life insurance policy to its employees, as well as a supplemental
life insurance policy. To purchase the supplemental policy, an employee must first purchase
the basic policy.
Let X denote the proportion of employees who purchase the basic policy, and Y the proportion
of employees who purchase the supplemental policy. Let X and Y have the joint density function
0 < y < x < 1
f (x, y) = 2(x + y)
Given that 10% of the employees buy the basic policy, what is the probability that fewer than
5% buy the supplemental policy?
%3D
Select ono:
Transcribed Image Text:A company covers a basic life insurance policy to its employees, as well as a supplemental life insurance policy. To purchase the supplemental policy, an employee must first purchase the basic policy. Let X denote the proportion of employees who purchase the basic policy, and Y the proportion of employees who purchase the supplemental policy. Let X and Y have the joint density function 0 < y < x < 1 f (x, y) = 2(x + y) Given that 10% of the employees buy the basic policy, what is the probability that fewer than 5% buy the supplemental policy? %3D Select ono:
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