Homework Answers
![sal MGF of W 1. 2.4t²+1st = M(A) = e 2.4 и This Mat looks like in the of one of в exp [ +4 «? #2] wwіl 4 и MGF of Normal Dist](http://img.homeworklib.com/questions/1b0b22b0-20b6-11eb-aeb2-631f9eae9e34.png?x-oss-process=image/resize,w_560)
Add Answer to:
(1 point) Given the MGF of random variable Wis M(t) = €2.4+-+15t provide the name of...
Please answer both questions and I WILL rate if your answers are correct. 1. 2. (1...
Please answer both questions and I WILL rate if your
answers are correct.
1.
2.
(1 point) Given the MGF of random variable W is M(t)-e3.5e+14t provide the name of the distribution of W, as well as its parameters. Select all that apply. There may be more than one correct answer. A. normal(μ-14, σ2-3.5) B. gamma (a-3.5, β-14) C. normal(μ-3.5, σ2-14) E. gamma(α-14, β-7) F. normal(μ-14, σ2 . 7) G. gamma(α-14, β-3.5) H. gamma(α-7, β-14) I. None of the above
The moment generating function (MGF) for a random variable X is: Mx (t) = E[e'X]. Onc...
The moment generating function (MGF) for a random variable X is: Mx (t) = E[e'X]. Onc useful property of moment generating functions is that they make it relatively casy to compute weighted sums of independent random variables: Z=aX+BY M26) - Mx(at)My (Bt). (A) Derive the MGF for a Poisson random variable X with parameter 1. (B) Let X be a Poisson random variable with parameter 1, as above, and let y be a Poisson random variable with parameter y. X...
8. Let X be a continuous random variable with mgf given by It< 1 M(t)E(eX) 1...
8. Let X be a continuous random variable with mgf given by It< 1 M(t)E(eX) 1 - t2 (a) Determine the expected value of X and the variance of X [3] (b) Let X1, X2, ... be a sequence of iid random variables with the same distribution as X. Let Y X and consider what happens to Y, as n tends to oo. (i) Is it true that Y, converges in probability to 0? (Explain.) [2] (ii) Explain why Vn...
0.2e ( poimt Given the M randmvariable X is MO). t0Provide the name of the distribution...
0.2e ( poimt Given the M randmvariable X is MO). t0Provide the name of the distribution of X, as well as its provide the name of the distrbon of X, as well as is parameters Select all that apply. There may be more than one correct answer. A. negative binomial (n 1,p 0.2) OC. geometric(p 0.8) B. geometriclp 0.2) D. negative binomial(n-1, p-0.8) E. binomial(n-1,p-0.2) - F. binomial(n-1, p-0.8) G. bernoulli(p 0.2) H. bernoulli(p 0.8) I. None of the above
(1 point) If Y-LX, and every X, is ii.d with distribution binomial(n, p), find the MGF of Y M(t) What is the distribution of Y? Select all that apply. There may be more than one correct answer A. bin...
(1 point) If Y-LX, and every X, is ii.d with distribution binomial(n, p), find the MGF of Y M(t) What is the distribution of Y? Select all that apply. There may be more than one correct answer A. binomial(n, m p) B. negative binomial (n, p) C. negative binomial(m,p) D. binomial (n, p) E. negative binomial(n, m * p) F. binomial(m *n,p) G. binomial(m, p) OH. negative binomial(m * n, p) I. None of the above
(1 point) If Y-LX,...
1 point) If YX and every X, is i.i.d with distribution binomial(n, p), find the MGF...
1 point) If YX and every X, is i.i.d with distribution binomial(n, p), find the MGF of Y M(t) = What is the distribution of Y? Select all that apply. There may be more than one correct answer. DA, binomial(rn * n, p) B. binomial(n, m*p) | | C. binomial(m, p) D. negative binomial(n,p) E. negative binomial(m,p) F. negative binomial(n, m* p) G. binomialn,p) OH. negative binomial(m * n, p) I. None of the above
21 (1 point) If Y X and every Xi is i.i.d with a chi-squared distribution with...
21 (1 point) If Y X and every Xi is i.i.d with a chi-squared distribution with 14 degrees of freedom, find the MGF of Y М()- What is the distribution of Y? Select all that apply. There may be more than one correct answer. А. gатта(а - 147, 8 В. датта(а — 2, В — 294) с. датта(а — 1,8— 1/147) D. gamma(a 1, B 1/294) E. chi squared(df 294) F. еzрoпential(A — 204) G. exponential(A 147) H. chi squared(df...
7. Let X a be random variable with probability density function given by -1 < x < 1 fx(x) otherwise (a) Find the...
7. Let X a be random variable with probability density function given by -1 < x < 1 fx(x) otherwise (a) Find the mean u and variance o2 of X (b) Derive the moment generating function of X and state the values for which it is defined (c) For the value(s) at which the moment generating function found in part (b) is (are) not defined, what should the moment generating function be defined as? Justify your answer (d) Let X1,...
Answer the following questions: (a) Suppose X is a uniform random variable with values 1, 2,...
Answer the following questions: (a) Suppose X is a uniform random variable with values 1, 2, 3, and 4. Then, 1) P(X = 3) = (correct to 2 decimal). 2) P(X S 3) = (correct to 2 decimal) 3) P(X > 3) = (correct to 2 decimal) 4) P(2 < X < 4) = (correct to 1 decimal) (b) Suppose Y is a random variable having Binomial distribution with parameters n = 10 and p = 0.5. Find (1) P(Y...
5. (20 pts) Suppose on a given college campus 45% of the students own an iPhone,...
5. (20 pts) Suppose on a given college campus 45% of the students own an iPhone, 50% an Android smartphone and 5% some other type of phone. Let X=the number of students in a simple random sample of 15 students who own an iPhone. A. What is the probability distribution of X? Note: If this is a well-known distribution it is sufficient to name the distribution and identify the value of the parameters B. Find the probability that 8 students...
Please answer both questions and I WILL rate if your
answers are correct.
1.
2.
(1 point) Given the MGF of random variable W is M(t)-e3.5e+14t provide the name of the distribution of W, as well as its parameters. Select all that apply. There may be more than one correct answer. A. normal(μ-14, σ2-3.5) B. gamma (a-3.5, β-14) C. normal(μ-3.5, σ2-14) E. gamma(α-14, β-7) F. normal(μ-14, σ2 . 7) G. gamma(α-14, β-3.5) H. gamma(α-7, β-14) I. None of the above
The moment generating function (MGF) for a random variable X is: Mx (t) = E[e'X]. Onc useful property of moment generating functions is that they make it relatively casy to compute weighted sums of independent random variables: Z=aX+BY M26) - Mx(at)My (Bt). (A) Derive the MGF for a Poisson random variable X with parameter 1. (B) Let X be a Poisson random variable with parameter 1, as above, and let y be a Poisson random variable with parameter y. X...
8. Let X be a continuous random variable with mgf given by It< 1 M(t)E(eX) 1 - t2 (a) Determine the expected value of X and the variance of X [3] (b) Let X1, X2, ... be a sequence of iid random variables with the same distribution as X. Let Y X and consider what happens to Y, as n tends to oo. (i) Is it true that Y, converges in probability to 0? (Explain.) [2] (ii) Explain why Vn...
0.2e ( poimt Given the M randmvariable X is MO). t0Provide the name of the distribution of X, as well as its provide the name of the distrbon of X, as well as is parameters Select all that apply. There may be more than one correct answer. A. negative binomial (n 1,p 0.2) OC. geometric(p 0.8) B. geometriclp 0.2) D. negative binomial(n-1, p-0.8) E. binomial(n-1,p-0.2) - F. binomial(n-1, p-0.8) G. bernoulli(p 0.2) H. bernoulli(p 0.8) I. None of the above
(1 point) If Y-LX, and every X, is ii.d with distribution binomial(n, p), find the MGF of Y M(t) What is the distribution of Y? Select all that apply. There may be more than one correct answer A. binomial(n, m p) B. negative binomial (n, p) C. negative binomial(m,p) D. binomial (n, p) E. negative binomial(n, m * p) F. binomial(m *n,p) G. binomial(m, p) OH. negative binomial(m * n, p) I. None of the above
(1 point) If Y-LX,...
1 point) If YX and every X, is i.i.d with distribution binomial(n, p), find the MGF of Y M(t) = What is the distribution of Y? Select all that apply. There may be more than one correct answer. DA, binomial(rn * n, p) B. binomial(n, m*p) | | C. binomial(m, p) D. negative binomial(n,p) E. negative binomial(m,p) F. negative binomial(n, m* p) G. binomialn,p) OH. negative binomial(m * n, p) I. None of the above
21 (1 point) If Y X and every Xi is i.i.d with a chi-squared distribution with 14 degrees of freedom, find the MGF of Y М()- What is the distribution of Y? Select all that apply. There may be more than one correct answer. А. gатта(а - 147, 8 В. датта(а — 2, В — 294) с. датта(а — 1,8— 1/147) D. gamma(a 1, B 1/294) E. chi squared(df 294) F. еzрoпential(A — 204) G. exponential(A 147) H. chi squared(df...
7. Let X a be random variable with probability density function given by -1 < x < 1 fx(x) otherwise (a) Find the mean u and variance o2 of X (b) Derive the moment generating function of X and state the values for which it is defined (c) For the value(s) at which the moment generating function found in part (b) is (are) not defined, what should the moment generating function be defined as? Justify your answer (d) Let X1,...
Answer the following questions: (a) Suppose X is a uniform random variable with values 1, 2, 3, and 4. Then, 1) P(X = 3) = (correct to 2 decimal). 2) P(X S 3) = (correct to 2 decimal) 3) P(X > 3) = (correct to 2 decimal) 4) P(2 < X < 4) = (correct to 1 decimal) (b) Suppose Y is a random variable having Binomial distribution with parameters n = 10 and p = 0.5. Find (1) P(Y...
5. (20 pts) Suppose on a given college campus 45% of the students own an iPhone, 50% an Android smartphone and 5% some other type of phone. Let X=the number of students in a simple random sample of 15 students who own an iPhone. A. What is the probability distribution of X? Note: If this is a well-known distribution it is sufficient to name the distribution and identify the value of the parameters B. Find the probability that 8 students...
Most questions answered within 3 hours.
-
Calculate the number density of argon gas at a temperature of
24C and a pressure of...
asked 2 hours ago -
Alternative
Classification
How to Estimate
Probabilities from Data? ( For continuous Attributes)
And How to generate...
asked 2 hours ago -
An explosion breaks a 20.0-kg object into three parts. The
object is initially moving at a...
asked 3 hours ago -
Calculate the approximate number of residues of Rubisco, which
is involved in carbon fixation in plants,...
asked 4 hours ago -
Other decisions about scientific claims can have a much broader
impact.ENERGYarrow-10x10.png, environment, health, security - all...
asked 5 hours ago -
I need to write a research paper and work cited about this
topic: The United States...
asked 6 hours ago -
Hello! I was wondering if I could have some help?
If the vapor pressure of carvone...
asked 6 hours ago -
An economist wants to estimate the mean per capita income (in
thousands of dollars) for a...
asked 6 hours ago -
What would be the input/output characteristic of a circuit
obtained by putting two of your 2's-complementers...
asked 6 hours ago -
In Drosophila, the transition from the syncytial blastoderm
stage to the cellular blastoderm stage is a...
asked 7 hours ago -
Project management question:
Name 3 different types of resources (hint: humans are one
type)
asked 7 hours ago -
Consider the following reaction: C 2H 2( g) + 2H 2( g) C 2H 6(
g)...
asked 7 hours ago