Rejection sampling and importance sampling: Consider the model, yjâ¼Binomial(nj,θj),whereθj= logitâ1(α+βxj), forj=1,...,J, and with independent prior distributions,αâ¼t4(0,22)andβâ¼t4 (0,1). SupposeJ=10,thexjvalues are randomly drawn fromaU(0,1) distribution, andnjâ¼Poisson+(5), where Poisson+is the Poisson distributionrestricted to positive values.(a) Sample a dataset at random from the model.(b) Use rejection sampling to get 1000 independent posterior drawsfrom(α,β).(c) Approximate the posterior density for (α,β) by a normal centered at the posteriormode with covariance matrix fit t

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.

your answer is the frist one

hop i

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)