Question

Suppose in a parallel universe the probability distribution for a gas is proportional to v^7 from...

Suppose in a parallel universe the probability distribution for a gas is proportional to v^7 from v=0 to v=1, and is 0 for all other v's. Normalize the distribution then determine the rms velocity for a gas in this universe.
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

for 0 v 1

where k is normalizing constant.

Now,

Thus, the probability distribution of velocity for a gas is,

for 0 v 1

The rms velocity for a gas in this universe is,

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Stars and galaxies in the distance universe are receding from us with a speed proportional to...
Stars and galaxies in the distance universe are receding from us with a speed proportional to their distance away, v = Hr, where H ≈ 73 m/s/Mpc is the Hubble constant. (a) What is the value of H in SI units? SR units? (Mpc = Mega parsec.) (b) Because they are receding from us, light received from distant stars will be red-shifted. It is common to define the dimensionless red-shift parameter z as λ/λ0 ≡ 1 + z. There is...
1. Determine whether the distribution represents a probability distribution. X 3 7 9 12 14 P(X)...
1. Determine whether the distribution represents a probability distribution. X 3 7 9 12 14 P(X) 4/13 1/13 3/13 1/13 2/13 2. Determine whether the distribution represents a probability distribution. X 5 7 9 P(X) 0.6 0.8 -0.4 3. Determine whether the distribution represents a probability distribution. X 20 30 40 50 P(X) 0.05 0.35 0.4 0.2
Determine whether or not the distribution is a discrete probability distribution and select the reason why...
Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not. x −2 6 7 P(X=x) −1/4 1/2 3/4 First, decide whether the distribution is a discrete probability distribution, then select the reason for making this decision. Yes     No               Reason Since the probabilities lie inclusively between 0 and 1 and the sum of the probabilities is equal to 1 . Since at least one of the probability values is greater than 1...
please answer all of them a. Suppose u and v are non-zero, parallel vectors. Which of...
please answer all of them a. Suppose u and v are non-zero, parallel vectors. Which of the following could not possibly be true? a) u • v = |u | |v| b) u + v = 0 c) u × v = |u|2 d) |u| + |v| = 2|u| b. Given points A(3, -4, 2) and B(-12, 16, 12), point P, lying between A and B such that AP= 3/5AB would have coordinates a) P(-27/5, 36/5, 42/5) b) P(-6, 8,...
Suppose that the random variable X has the following cumulative probability distribution X: 0 1. 2....
Suppose that the random variable X has the following cumulative probability distribution X: 0 1. 2. 3. 4 F(X): 0.1 0.29. 0.49. 0.8. 1.0 Part 1:  Find P open parentheses 1 less or equal than x less or equal than 2 close parentheses Part 2: Determine the density function f(x). Part 3: Find E(X). Part 4: Find Var(X). Part 5: Suppose Y = 2X - 3,  for all of X, determine E(Y) and Var(Y)
Suppose that the following table contains the complete probability distribution for the number of credit cards...
Suppose that the following table contains the complete probability distribution for the number of credit cards owned by adults in a certain country. Complete parts a and b to the right. Number_of_Credit_Cards Probability 0 0.29 1 0.26 2 0.11 3 0.09 4 0.08 5 0.06 6 0.05 7 0.03 8 0.02 9 0.01 a) compute the mean number of credit cards: b) compute the standard deviation.
Show graphs in minitab! Probability distribution plot < View probability < Gamma Suppose that X has...
Show graphs in minitab! Probability distribution plot < View probability < Gamma Suppose that X has a gamma distribution with lambda = 3 and r = 6. Determine the mean and variance of X. a) P(X < 1) Numerical value = 0.2677, SHOW ON GRAPH! b) P(X > a) = 0.2 Numerical value = 0.7132, SHOW ON GRAPH!
The Normal Probability Distribution In §6.2 we are introduced to the Normal Probability Distribution and the...
The Normal Probability Distribution In §6.2 we are introduced to the Normal Probability Distribution and the special case of the Normal Probability Distribution, the Standard Normal Probability Distribution, which is a Normal Probability Distribution with mean (u) zero and variance (σ2) one (and standard deviation of 1). What is a z score? 2. What is the purpose of a z score? 3. If a z score were -3, where on the graph would it be? Is this a rare or...
1. (a) Y1,Y2,...,Yn form a random sample from a probability distribution with cumulative distribution function FY...
1. (a) Y1,Y2,...,Yn form a random sample from a probability distribution with cumulative distribution function FY (y) and probability density function fY (y). Let Y(1) = min{Y1,Y2,...,Yn}. Write the cumulative distribution function for Y(1) in terms of FY (y) and hence show that the probability density function for Y(1) is fY(1)(y) = n{1−FY (y)}n−1fY (y). [8 marks] (b) An engineering system consists of 5 components connected in series, so, if one components fails, the system fails. The lifetimes (measured in...
In a vacuum diode electrons are emitted from a hot grounded cathode (V=0) and they are...
In a vacuum diode electrons are emitted from a hot grounded cathode (V=0) and they are accelerated towards the anode at potential V0 (see Griffiths, prob.2.48). The clouds of emitted electrons build up until they reduce the electric field at the cathode to zero. From then on a steady current I flows between the plates. Let the anode and cathode be much larger than the distance d between them, so that the potential ϕ, electron density ρ and electron velocity...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT