Question 2. Let X1,..., X, be an independent and identically distributed sequence of random variables from a population in a geometric statistical model {g, |pe (0, 1]} with Ip(x) = (1 – p)"-lp, x € {1,2, ...} = N. %3D You may assume in this exercise that • Ep(X1) = »- Var, (X1) = . • PML = 1/X. a. Show that the likelihood ratio test statistic for the hypotheses Ho: po = versus n(7-1) H1 : po # } is given by X(#) = () (남 ()".

Q: If A = A−¹ . 9 7 1 0 1 5 00 01

A: The matrix is given byTo determine: The inverse of the given matrix.Formula used:

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Q: and question d

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A: I = ∫4x e−3x dx

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A: Given,  is the inverse Laplace equation. We have to find the solution as follows:

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A: Answer  - 5 and 2/3 feet +4 and 1/6 feet

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A: Option D is correct..

Q: 3. Select the equivalent expression. * OA. 1 8-22 O B. 26 89 o20 Tr

A: use the property of exponents

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A: Given: -3+m9=10

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A: Given CO is perpendicular to AO Therefoe ∠COA = 90°  ∠COB = 4θ-30°   and  ∠BOA = θ+20° Also here…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.