Mathematical Methods of Physics-Binomial, Poisson and Normal Distributions (CSIR Physical Sciences): Questions 1 - 4 of 6

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Question number: 1

» Mathematical Methods of Physics » Binomial, Poisson and Normal Distributions

Appeared in Year: 2014

MCQ▾

Question

Given,

n=0Pn(x)tn=(12xt+t2)12

For t <1, the value of P5(1) is – (June)

Choices

Choice (4) Response

a.

1

b.

0.5

c.

0.26

d.

-1

Question number: 2

» Mathematical Methods of Physics » Binomial, Poisson and Normal Distributions

Appeared in Year: 2012

MCQ▾

Question

The radioactive decay of a certain material satisfied Poisson statistics with a mean rate of λ per second, what should be the minimum duration of counting (in seconds) so that relative error is less than 1%? (June)

Choices

Choice (4) Response

a.

104λ

b.

1λ

c.

100λ

d.

104λ2

Question number: 3

» Mathematical Methods of Physics » Binomial, Poisson and Normal Distributions

Appeared in Year: 2014

MCQ▾

Question

Two independent random variables m and n, which can take the integer values 0, 1,2,, , follow the Poisson distribution, with distinct mean values μ and v respectively. Then, (December)

Choices

Choice (4) Response

a.

The probability distribution of the random variable l=m+n is a binomial distribution.

b.

The variance of the random variable l=m+n is equal to μ+v .

c.

The probability distribution of the random variable r=mn is also a Poisson distribution.

d.

The mean value of the random variable r=mn is equal to 0.

Question number: 4

» Mathematical Methods of Physics » Binomial, Poisson and Normal Distributions

Appeared in Year: 2014

MCQ▾

Question

If the electrostatic potential in spherical polar coordinates is φ(r)=φ0err0 ; where φ0 and r0 are constants, then the charge density at a distance r=r0 will be – (June)

Choices

Choice (4) Response

a.

ε0φ0er02

b.

eε0φ02r02

c.

ε0φ0er02

d.

2eε0φ0r02

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