The lifetime of an aquatic insect has an exponential disribution with parameter θ = 10 hrs. (i) What is the probability that an aquatic insect lives longer than 12 hrs? (ii) What is the median of this distribution? (50% live less time and 50% live longer) (iii) Assume the lifetimes of these insects are independent of each other. What is the probability that at least 35 of the next

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

The lifetime of an aquatic insect has an exponential disribution with parameter θ = 10 hrs.

(i) What is the probability that an aquatic insect lives longer than 12 hrs?

(ii) What is the median of this distribution? (50% live less time and 50% live longer)

(iii) Assume the lifetimes of these insects are independent of each other. What is the probability that at least 35 of the next 100 insects live longer than 12 hrs?

Expert Solution
steps

Step by step

Solved in 5 steps with 7 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON