Math Answers

Suppose three test kits are tested at random. Let D represent the defective test kit and let N represent the non-defective test kit. If we let X be the random variable for the number of defective test kits, construct the probability distribution of the random variable X.

Find the mean of the probability distribution of a random variable X which if 𝑃(𝑋) =

𝑥+1

20

for X= 1, 2, 3, 4, and 5.

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