Homework Answers
mgf of Y is (pet+(1-p))mn (as total number of trails will be mn and probability is p)
option A is correct
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1 point) If YX and every X, is i.i.d with distribution binomial(n, p), find the MGF...
(1 point) If Y-Σǐn 1 X, and every Xi is i.i.d with distribution binomial(n, p), find...
(1 point) If Y-Σǐn 1 X, and every Xi 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 A. binomial (n, m * p) B. negative binomial(m * n,p) C. negative binomial(n,p) D. negative binomial(m, p) E. binomial(m,p) F. binomial(n,p) G. binomial(m * n,p) H. negative binomial(n,m* p) 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,...
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...
(1 point) If Y is binomial(n, p), find the MGF of Y. M(t) If n = 13 and p = 0.2, differentiate the MGF you found above to find the first 3 moments of Y about 0. 1st Moment: 2nd Moment: 3rd Moment: Us...
(1 point) If Y is binomial(n, p), find the MGF of Y. M(t) If n = 13 and p = 0.2, differentiate the MGF you found above to find the first 3 moments of Y about 0. 1st Moment: 2nd Moment: 3rd Moment: Using the moments above, calculate the variance of Y. var(Y) =
(1 point) If Y is binomial(n, p), find the MGF of Y. M(t) If n = 13 and p = 0.2, differentiate the MGF you found...
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) Given the MGF of random variable Wis M(t) = €2.4+-+15t provide the name of...
(1 point) Given the MGF of random variable Wis M(t) = €2.4+-+15t 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(u = 2.4, o2 = 15) B. normallu = 15, o2 = 2.4) C. gamma(a = 4.8,B = 15) D. gamma(a = 15, B = 4.8) E. normal(u = 4.8, 02 = 15) OF. gamma(a = 15, B = 2.4) G. normallu...
Assume a binomial probability distribution has p = 0.70 and n = 400.
You may need to use the appropriate appendix table or technology to answer this question.Assume a binomial probability distribution has p = 0.70and n = 400.(a)What are the mean and standard deviation? (Round your answers to two decimal places.)
mean
standard deviation
(b)Is...
Recall that the binomial distribution with parameters n and p is governed by Let n be some known number, say n-1000. Th...
Recall that the binomial distribution with parameters n and p is governed by Let n be some known number, say n-1000. Then the pmf is 1000 f (y) p)1000-, Write this as an exponential family of the form 1000 fp (v)-h() exp (n (p)T(v) p) where h () then enter η (p) T (y) and B (p) below. To get unique answers, use 1 as the coefficient of y in T (s). T (v)- B(p)
Recall that the binomial distribution...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about three. Find the probability that the number of births in any given minute is (a) exactly five, (b) at least five, and (c) more than five. (a) P(exactly five)-...
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
(1 point) If Y-Σǐn 1 X, and every Xi 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 A. binomial (n, m * p) B. negative binomial(m * n,p) C. negative binomial(n,p) D. negative binomial(m, p) E. binomial(m,p) F. binomial(n,p) G. binomial(m * n,p) H. negative binomial(n,m* p) 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,...
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...
(1 point) If Y is binomial(n, p), find the MGF of Y. M(t) If n = 13 and p = 0.2, differentiate the MGF you found above to find the first 3 moments of Y about 0. 1st Moment: 2nd Moment: 3rd Moment: Using the moments above, calculate the variance of Y. var(Y) =
(1 point) If Y is binomial(n, p), find the MGF of Y. M(t) If n = 13 and p = 0.2, differentiate the MGF you found...
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) Given the MGF of random variable Wis M(t) = €2.4+-+15t 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(u = 2.4, o2 = 15) B. normallu = 15, o2 = 2.4) C. gamma(a = 4.8,B = 15) D. gamma(a = 15, B = 4.8) E. normal(u = 4.8, 02 = 15) OF. gamma(a = 15, B = 2.4) G. normallu...
Recall that the binomial distribution with parameters n and p is governed by Let n be some known number, say n-1000. Then the pmf is 1000 f (y) p)1000-, Write this as an exponential family of the form 1000 fp (v)-h() exp (n (p)T(v) p) where h () then enter η (p) T (y) and B (p) below. To get unique answers, use 1 as the coefficient of y in T (s). T (v)- B(p)
Recall that the binomial distribution...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about three. Find the probability that the number of births in any given minute is (a) exactly five, (b) at least five, and (c) more than five. (a) P(exactly five)-...
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
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