4 Slides • 10 Questions

PROBABILITY CLASS 12

by Indu Khurana

2

Probability of binomial distribution

Where P is the probability of success and q is the probability of failure

n and p are called parameters of binomial distribution

=

Mean of binomial distribution= nxp

Variance of binomial distribution= npq

Standard deviation of binomial distribution= √npq

3

Poisson Distribution

Probability P(r)= ,

Recurrence formula: P(r+1)=

Mean and variance=

Standard deviation =

4

Normal distribution

5

Multiple Choice

If X is a normal distribution random variable with $\mu=10$ and $\sigma=2$ , find P(X $<9.8$ )

1

0.4602

2

0.4206

3

0.4620

4

0.4260

6

Multiple Choice

If X is a normal distribution random variable with $\mu=10$ and $\sigma=2$ , find

P( $12<$ X $<14.5$ )

1

0.1546

2

0.1456

3

0.1465

4

0.1645

7

Multiple Choice

If Z is a standard normal variable, find $P\left(-2.38<Z<-1.45\right)$

1

$F\left(1.45\right)-F\left(-2.38\right)$

2

$F\left(-1.45\right)-F\left(-2.38\right)$

3

$F\left(-1.45\right)-F\left(2.38\right)$

4

$F\left(-2.38\right)-F\left(-1.45\right)$

8

Multiple Choice

The standard deviation of a poisson variate X is √3. Find the probability X=2, given $e^{-3}=0.0498$

1

0.2142

2

0.2421

3

0.2214

4

0.2241

9

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13

Multiple Choice

A die is tosses 3 times. Getting an even number is success. Find the binomial distribution and its variance.

1

$\left(\frac{1}{2}+\frac{1}{2}\right)^3,\ \frac{1}{4}$

2

$\left(\frac{1}{2}+\frac{1}{2}\right)^3,\ \frac{3}{4}$

3

$\left(\frac{1}{2}+\frac{1}{2}\right)^3,\ \frac{2}{4}$

4

$\left(\frac{1}{2}+\frac{1}{2}\right)^3,\ \frac{3}{2}$

14

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PROBABILITY CLASS 12

by Indu Khurana

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Probability Class 12

PROBABILITY CLASS 12

Probability of binomial distribution

Mean of binomial distribution= nxp

Variance of binomial distribution= npq

Standard deviation of binomial distribution= √npq

​Poisson Distribution

​Normal distribution

PROBABILITY CLASS 12

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Popular Resources on Wayground

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Poisson Distribution

Normal distribution