#### Online Mock Tests

#### Chapters

Chapter 1.2: Matrics

Chapter 1.3: Trigonometric Functions

Chapter 1.4: Pair of Lines

Chapter 1.5: Vectors and Three Dimensional Geometry

Chapter 1.6: Line and Plane

Chapter 1.7: Linear Programming Problems

Chapter 2.1: Differentiation

Chapter 2.2: Applications of Derivatives

Chapter 2.3: Indefinite Integration

Chapter 2.4: Definite Integration

Chapter 2.5: Application of Definite Integration

Chapter 2.6: Differential Equations

Chapter 2.7: Probability Distributions

Chapter 2.8: Binomial Distribution

## Chapter 3: Binomial Distribution

### SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2022 Chapter 3 Binomial Distribution MCQ

#### 2 Marks

In a Binomial distribution with n = 4, if 2P(X = 3) = 3P(X = 2), then value of p is ______

`9/13`

`4/13`

`6/13`

`7/13`

Given that X ~ B(n, p). If n = 10, p = 0.4, then E(X) = ______

1

2

3

4

For X ~ B(n, p), if V(X) = 2.4 and p = 0.4, then n = ______

10

20

30

40

Given that X ~ B(n = 10, p), E(X) = 8, then value of p = ______

0.4

0.8

0.6

0.7

Bernoulli distribution is a particular case of binomial distribution if n = ______

4

10

2

1

### SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2022 Chapter 3 Binomial Distribution Very Short Answers

#### 1 Mark

If X ~ B(n, p), E(X) = 12, V(X) = 4, then find n

For Bernoulli Distribution, state formula for E(X) and V(X).

For X ~ B(n, p) and P(X = x) = `""^8"C"_x(1/2)^x (1/2)^(8 - x)`, then state value of n and p

State the formula for p.m.f. of Binomial Distribution

A die is thrown. If X denotes the number of positive divisors of the outcomes, then find the range of random variable X

### SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2022 Chapter 3 Binomial Distribution Short Answers I

#### 2 Marks

A r.v. X ~ B(n, p). If the values of mean and variance of X are 18 and 12 respectively, then find total number of positive values of X.

Given X ~ B(n, p). If E(X) = 6, V(X) = 4.2, find n and p

If X ~ B(n, p) with n = 10, p = 0.4, then find E(X^{2}).

If X ~ B(6, p) and 2P(X = 3) = P(X = 2), then find p

Let the p.m.f. of r.v. X be P(x) = `""^4"C"_x (5/9)^x (4/9)^(4 - x)`, x = 0, 1, 2, 3, 4. Find E(X) and Var(X)

### SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2022 Chapter 3 Binomial Distribution Short Answers II

#### 3 Marks

A Fair coin is tossed 5 times, find the probability that coin shows exactly three times head

A fair coin is tossed 5 times, find the probability that no head

The probability that certain kind of component will survive a check test is 0.6. Find the probability that exactly 2 of the next 4 tested components survive

Find the probability of guessing correctly at least nine out of ten answers in a "true" or "false" objective test

A fair coin is tossed 8 times. Find the probability that it shows heads exactly 5 times

A fair coin is tossed 8 times. Find the probability that it shows heads at least once

The probability that a person who undergoes a kidney operation will be recovered is 0.5. Find the probability that out of 6 patients who undergo similar operation none will recover

The probability that a person who undergoes a kidney operation will be recovered is 0.5. Find the probability that out of 6 patients who undergo similar operation half of them recover.

## Chapter 3: Binomial Distribution

## SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2022 chapter 3 - Binomial Distribution

SCERT Maharashtra Question Bank solutions for 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2022 chapter 3 (Binomial Distribution) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2022 solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in 12th Standard HSC Mathematics and Statistics (Arts and Science) Maharashtra State Board 2022 chapter 3 Binomial Distribution are Bernoulli Trial, Binomial Distribution, Mean of Binomial Distribution (P.M.F.), Variance of Binomial Distribution (P.M.F.), Bernoulli Trials and Binomial Distribution.

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