The pdf describing the chance that a given insect will die at a particular age, x days, is . What is the chance the insect will live longer than 6 days?
A) 0.692
B) 0.167
C) 0.308
D) 0.500

Question

The pdf describing the chance that a given insect will die at a particular age, x days, is  . What is the chance the insect will live longer than 6 days?
A) 0.692 
B) 0.167 
C) 0.308 
D) 0.500

Quizplus · Accepted Answer

To find the chance that the insect will live longer than 6 days, we need to calculate the cumulative probability from day 7 to infinity. We can use the survival function S(x) = 1 - F(x), where F(x) is the cumulative distribution function.

From the PDF, we know that the chance the insect dies at or before 6 days is F(6) = 0.692. Therefore, the chance the insect lives longer than 6 days is:

S(6) = 1 - F(6) = 1 - 0.692 = 0.308

So the best choice is C.

The Pdf Describing the Chance That a Given Insect Will