Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. 4. a space probe encounters a planet capable of su

4. A space probe encounters a planet capable of sustaining life on average every 3.4 lightyears....

90.2K

Verified Solution

Question

Basic Math

4. A space probe encounters a planet capable of sustaining lifeon average every 3.4 lightyears. (Recall that a lightyear is ameasure of distance, not time.)

a) Let L be the number of life-sustaining planets that the probeencounters in 10 lightyears. What are the distribution,parameter(s), and support of L?

b) What is the probability that the probe encounters at least 2life-sustaining planets in 10 lightyears?

c) The probe has just encountered a life-sustaining planet. Whatis the probability that it takes more than 4 lightyears toencounter the next life-sustaining planet? What distribution andparameter(s) are you using?

d) Suppose the probe has not encountered a life-sustainingplanet for 2.5 lightyears. Knowing this, what is the probabilitythat it will take at most 8 lightyears to detect the nextlife-sustaining planet?

e) The probe has encountered 10 life-sustaining planets in thelast 25 lightyears. What is the probability that there are 3life-sustaining planets in the first 5 lightyears of this25-lightyear span?

Answer & Explanation Solved by verified expert
3.6 Ratings (609 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Statistics
1.2K views

lect all of the following indicators which w swer

General Management
1.2K views

Question 3 The Consolidated Bank of Ghana (CBG) is planning to install a new computerized accounts system....

Physics
1.2K views

A plank of mass M is placed over smooth triangular wedge with angle of inclination...

Physics
1.2K views

For finding the moment of inertia of a d isc with radius R we assume...

Geometry
1.2K views

What is the area of the shaded portion of the figure Express your answer in...

Basic Math
1.2K views

A carpet in the shape of a regular pentagon has an area of 2 940...

Calculus
1.2K views

15 points Solve y 2y 5y 6y 12xe 2e y 0 2 y 0 7...

Calculus
1.2K views

A petroleum company is making a cylindrical oil drum. The drum must hold 1.9 m...

Accounting
1.2K views

A company determined that the budgeted cost of producing a product is $30 per unit....

Accounting
1.2K views

Compared to the consolidation method, how would the use of the equity method to account...

Accounting
1.2K views

Brief Exercise 4-13 (Static) Statement of cash flows; indirect method [LO4-8] Net income of Mansfield...

Accounting
1.2K views

Think of a business that you might want to start or be a part of...