Astronomers treat the number of stars in a given volume of space as a Poisson random...

Question

Question

Astronomers treat the number of stars in a given volume of space as a Poisson random...

Astronomers treat the number of stars in a given volume of space as a Poisson random variable.

The density in the Milky Way Galaxy in the vicinity of our solar system is ten stars per 16 cubic

light-years.

•What is the probability of at least one star in 5 cubic light-years?

•How many stars would you expect there to be in 50 cubic light-years?

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

1)

Let X denote the number of stars in a 5-cubic light years interval. Then

Required probability =

2)

Let Y denote the number of stars in a 50-cubic light years interval. Then

So,

which is the expected number of stars in 50 cubic light-years.

Add a comment

Answer 2

Similar Homework Help Questions

Astronomers treat the number of stars in a given volume of space as a Poisson random...

Astronomers treat the number of stars in a given volume of space as a Poisson random variable. The density in the Milky Way Galaxy in the vicinity of our solar system is 1 star per 16 cubic light years. (a) What is the probability of 4 or more stars in 16 cubic light years? Probability = i . [Round your answer to three decimal places (e.g. 98.765).] (b) How many cubic light years of space must be studied so that...
Question 17 x Incorrect. Astronomers treat the number of stars in a given volume of space...

Question 17 x Incorrect. Astronomers treat the number of stars in a given volume of space as a Poisson random variable. The density in the Milky Way Galaxy in the vicinity of our solar system is 1 star per 16 cubic light years. (a) What is the probability of 2 or more stars in 16 cubic light years? 0.019 Probability = J. [Round your answer to three decimal places (e.g. 98.765).] (b) How many cubic light years of space must...
Astronomers have observed a small, massive object at the center of our Milky Way galaxy. A...

Astronomers have observed a small, massive object at the center of our Milky Way galaxy. A ring of material orbits this massive object; the ring has a diameter of about 10 light years and an orbital speed of about 210 km/s . A) Determine the mass of the massive object at the center of the Milky Way galaxy. Give your answer in kilograms. B) Give your answer in solar masses (one solar mass is the mass of the sun). C)...

Suppose that stars were born at random times over the last 1010 years. The rate of...

Suppose that stars were born at random times over the last 1010 years. The rate of star formation is simply the number of stars divided by 1010 years. The fraction of stars with detected extrasolar planets is at least 16 %. The rate of star formation can be multiplied by this fraction to find the rate planet formation. How often (in years) does a planetary system form in our galaxy? Assume the Milky Way contains 8 × 1011 stars.
Astronomers estimate that as many as 100 billion stars in the Milky Way galaxy may be...

Astronomers estimate that as many as 100 billion stars in the Milky Way galaxy may be encircled by planets. Let p denote the probability a randomly selected solar system contains intelligent life. Assume the occurrence of life in one solar system is independent of the occurrence of life in another solar system (so no interstellar migration, for example). Do not include our solar system in the calculations. I invent a spaceship capable of interstellar travel and visit solar systems until...
Suppose that stars were born at random times over the last 1010 years. The rate of...

Suppose that stars were born at random times over the last 1010 years. The rate of star formation is simply the number of stars divided by 1010 years. The fraction of stars with detected extrasolar planets is at least 20 %. The rate of star formation can be multiplied by this fraction to find the rate planet formation. How often (in years) does a planetary system form in our galaxy? Assume the Milky Way contains 9 × 1011 stars

Question 1) When does a protostar become a true star? Select one: a. when the star...

Question 1) When does a protostar become a true star? Select one: a. when the star is 1 million years old b. when the central temperature reaches 1 million Kelvin c. when nuclear fusion begins in the core d. when the thermal energy becomes trapped in the center Question 2: On average, what is the greatest mass a newborn star can have? Select one: a. 10 solar masses b. 50 solar masses c. 150 solar masses d. 300 solar masses...
choose correct answer. no explanation needed QUESTION 10 How do astrophysicists account for neutrino emission from...

choose correct answer. no explanation needed QUESTION 10 How do astrophysicists account for neutrino emission from the Sun? Solar flares create neutrinos with very energetic magnetic fields. Convection releases neutrinos, which random walk through the radiation zone. Fission in the Sun's core creates neutrinos when protons turn into neutrons. The annihilation of positrons and electrons in the core produces neutrinos. Fusion in the Sun's core creates neutrinos when protons turn into neutrons, QUESTION 11 How does the interstellar medium impact...

Astronomers treat the number of stars in a given volume of space as a Poisson random...

Homework Answers

Add Answer to:
Astronomers treat the number of stars in a given volume of space as a Poisson random...

Post as a guest

Earn Coins