In this time of pandemic, new indoor plant lovers emerge - flexing their potted plants and proudly calling themselves "plantitos" and "plantitas." Suppose a plant shop is selling 5 rose pincushion cacti but there are 2 here which are not yet fully established. Fascinated by its beauty, you decided to buy 3 of these cacti at random. Determine the (a) probability distribution (tabulate) and the (b) cumulative distribution of the random variable X representing the number of the cacti that are not established.

Q: 1 -3 4 1 Let A = 1 2 -3 2 4. B = -4 0 -2 [-1 2 5. Find Rank of AB

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Q: -48 6

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Q: A curve is given by the equation y = ln (2³+¹). x5

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Q: 4 Evaluate -1 0 5 by: 3 - 2 expanding along the first row expanding along the second column A A 1.…

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Q: b. N(0)

A: Given,  r→t=sint, t, cost                   ...1

Q: 4x e 3x

A: I = ∫4x e−3x dx

Q: రం్ియ 20 5-6 a06 5a 3. 3.

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Q: 4. 3*+4 72x-1

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Q: 3s – 7 s- 2s + 3

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Q: 4 3/4 - 2 5/6

A: Given that the expression is

Q: 1) S7 (1+x*)²

A: Given: I=∫x3dx1+x42 For evaluating given integral, we substitute 1+x4=t…

Q: - 3 4 3 - 13 - 10 - 10 -3 Find the LU factorization of 9 L = U = II

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Q: 6 5 3 5 6 2 Let D =| 4 -5 7 and E = 1 0 7 1 0 -3 2 5 Find - 5D- 6E.

A: given matrices are

Q: 目 +8 LI +T 现 +04 +C4 |F|E|F|| ||||4 4 4 2 2

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Q: 1 3 -2 What is the rank of 2? -81 -1 -2 -6 4 a. 4 с. 2 b. 3 d. 1

A: Given: The matrix, 13-2401-12-2-64-8 To find: The rank of the matrix.

Q: 14. (27 – 3 + 3k ) + 3(7 – !J + k )

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Q: 1) (8s° - 9s) - (3s° + 4)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Multiply. 5/ x-4 5. 7 6 X+1

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Q: 1 + 2n < n° for all integers n² 2

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Q: X ~ N(1, 2)

A: We have find givan normal distribution...

Q: (-3d6w3)3

A: Evaluate -3d6w33=?

Q: 5 (4k + 3) k 1

A: Given,

Q: Prove that n² +n is divisible by 2, where n E N.

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Q: 2 0 (49x2+1)3/2 4.) 7dx

A: Given:The indefinite integral given is

Q: A. 3- 2x 2 x B. (2 - x) 2 3x C. 3(2 - X) 2 3x D. 3-2x2 3x 32. Six is at least the product of three…

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Q: f. ā(0)

A: Obtain the velocity vector as shown below: vt→=ddtrt→vt→=ddtsint,t,costvt→=cost,1,-sint

Q: 3. (x³ + 4x² –x – 1) + (x + 3)

A: Here we have to divide two polynomials as shown.

Q: 5х -44 j 2х+ 7 k

A: We have been given that j || k

Q: 22 7/8 - 7=

A: Given,

Q: 5s – 6 Find L s² – 4s + 7.

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Q: 2. (1 + 3/2x − 1)² = 3 + √3/2x − 1

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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.