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Find the mean of the probability distribution of a random variable X which if 

P(X)=1/10 for X=1, 2, 3, …, 10.


Find the mean of the probability distribution of a random variable X which if 

P(X)=1/10 for X=1, 2, 3, …, 10.


Find the mean of the probability distribution of a random variable X which can take 

only the values 2, 4, 5, and 9, given that P(2)=9/20, P(5)=1/20, P(5)=1/5, and 

P(9)=3/10


Find the mean of the probability distribution of a random variable X which can take 

only the values 3, 5, and 7, given that P(3)=7/30, P(5)= 1/3, and P(7)=13/30


2. Solve by variation of parameters:



(D ^ 2 - 2D + 1) * y = x ^ (3/2) * e ^ x


1. Solve the ordinary linear differential equation by the method of undetermined coefficients: y'' -2y' -3y=2e^ 4x


Mr. Ahmed is a sales manager at the mobile company. His salary includes commission, and basic salary. His basic salary is Rs. 25,000 per month and he is given Rs. 325 for the sale of each mobile. If his total salary for last month was Rs. 97,475. How many mobiles did he sell last month?

2. Solve by variation of parameters:


(D ^ 2 - 2D + 1) * y = x ^ (3/2) * e ^ x

. Let B be the number of boys in a family of 4 children. Construct a probability distribution of the random variable x. Construct a probability histogram 


Electron scattering by isolated atoms and molecules occurs in the gas phase. It plays a key role in plasma physics and chemistry and it's important for such applications as semiconductor physics.



Electron scattering experiment provides most accurate values of the sizes of atomic nuclei.



Estimate the rough energy of electron required for this.



Ans: ~250 MeV



Note: The electron must be treated as relativistic

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