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HSC Arts (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

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Find the expected value, variance and standard deviation of the random variable whose p.m.f.’s are given below :

x = x 1 2 3
P (X = x) `1/5` `2/5` `2/5`
[14] Probability Distributions
Chapter: [14] Probability Distributions
Concept: undefined >> undefined

Find the expected value, variance and standard deviation of the random variable whose p.m.f.’s are given below :

x = x -1 0 3
P (X = x) `1/5` `2/5` `2/5`
[14] Probability Distributions
Chapter: [14] Probability Distributions
Concept: undefined >> undefined

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Find the expected value, variance and standard deviation of the random variable whose p.m.f.’s are given below :

x = x 1 2 3 ... n
P (X = x) `1/n` `1/n` `1/n` ... `1/n`
[14] Probability Distributions
Chapter: [14] Probability Distributions
Concept: undefined >> undefined

Find the expected value, variance, and standard deviation of the random variable whose p.m.f.’s are given below :

x = x 0 1 2 3 4 5
P (X = x) `1/32` `5/32` `10/32` `10/32` `5/32` `1/32`
[14] Probability Distributions
Chapter: [14] Probability Distributions
Concept: undefined >> undefined

The graph of the inequality 3X − 4Y ≤ 12, X ≤ 1, X ≥ 0, Y ≥ 0 lies in fully in

[7] Linear Programming
Chapter: [7] Linear Programming
Concept: undefined >> undefined

Sketch the graph of inequation x ≥ 5y in xoy co-ordinate system

[7] Linear Programming
Chapter: [7] Linear Programming
Concept: undefined >> undefined

Find the graphical solution for the system of linear inequation 2x + y ≤ 2, x − y ≤ 1

[7] Linear Programming
Chapter: [7] Linear Programming
Concept: undefined >> undefined

Find the feasible solution of linear inequation 2x + 3y ≤ 12, 2x + y ≤ 8, x ≥ 0, y ≥ 0 by graphically

[7] Linear Programming
Chapter: [7] Linear Programming
Concept: undefined >> undefined

Find the solution set of inequalities 0 ≤ x ≤ 5, 0 ≤ 2y ≤ 7

[7] Linear Programming
Chapter: [7] Linear Programming
Concept: undefined >> undefined

Examine whether the statement pattern

[p → (∼q ˅ r)] ↔ ∼[p → (q → r)] is a tautology, contradiction or contingency.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

A ladder 5 m in length is resting against vertical wall. The bottom of the ladder is pulled along the ground, away from the wall at the rate of 1.5 m /sec. The length of the higher point of the when foot of the ladder is 4 m away from the wall decreases at the rate of ______

[9] Applications of Derivatives
Chapter: [9] Applications of Derivatives
Concept: undefined >> undefined

Draw the graph of inequalities x ≤ 6, y −2 ≤ 0, x ≥ 0, y ≥ 0 and indicate the feasible region

[7] Linear Programming
Chapter: [7] Linear Programming
Concept: undefined >> undefined

`int (2x - 7)/sqrt(4x- 1) dx`

[10] Indefinite Integration
Chapter: [10] Indefinite Integration
Concept: undefined >> undefined

`int "e"^(3logx) (x^4 + 1)^(-1) "d"x`

[10] Indefinite Integration
Chapter: [10] Indefinite Integration
Concept: undefined >> undefined

`int x^7/(1 + x^4)^2  "d"x`

[10] Indefinite Integration
Chapter: [10] Indefinite Integration
Concept: undefined >> undefined

`int x^2sqrt("a"^2 - x^6)  "d"x`

[10] Indefinite Integration
Chapter: [10] Indefinite Integration
Concept: undefined >> undefined

`int sqrt(4^x(4^x + 4))  "d"x`

[10] Indefinite Integration
Chapter: [10] Indefinite Integration
Concept: undefined >> undefined

`int 1/(x(x^3 - 1)) "d"x`

[10] Indefinite Integration
Chapter: [10] Indefinite Integration
Concept: undefined >> undefined

If f'(x) = `x - 3/x^3`, f(1) = `11/2` find f(x)

[10] Indefinite Integration
Chapter: [10] Indefinite Integration
Concept: undefined >> undefined

`int ((x^2 + 2))/(x^2 + 1) "a"^(x + tan^(-1_x)) "d"x`

[10] Indefinite Integration
Chapter: [10] Indefinite Integration
Concept: undefined >> undefined
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