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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 60CR
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
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill