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 10 days? Round your answer to three decimal places.
A) 0.594
B) 0.100
C) 0.406
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 10 days? Round your answer to three decimal places.
A) 0.594 
B) 0.100 
C) 0.406 
D) 0.500

Quizplus · Accepted Answer

To find the probability that the insect will live longer than 10 days, we need to integrate the given PDF from 10 to infinity.

∫10 to ∞ 11e^-0.5x dx = -22e^-5

= 0.406 (rounded to three decimal places)

Therefore, the correct answer is C.

The Pdf Describing the Chance That a Given Insect Will