EIT Mathematics and Statistics 3

Question 1

What is the solution to the first-order ODE dy/dx = 2y with y(0) = 3?

Accepted Answer

y = 3e^(2x)

Answer

y = 2e^(3x)

Answer

y = 3x²

Answer

y = 6x + 3

Question 2

A normal distribution has mean 50 and standard deviation 10. What percentage of data falls within one standard deviation?

Accepted Answer

68%

Answer

50%

Answer

95%

Answer

99.7%

Question 3

Which method is used to solve a system of linear equations by converting the augmented matrix to row echelon form?

Accepted Answer

Gaussian Elimination

Answer

Cramer's Rule

Answer

LU Decomposition

Answer

Jacobi Iteration

Question 4

The inverse Laplace transform of 1/s² is:

Accepted Answer

t

Answer

1

Answer

e^t

Answer

δ(t)

Question 5

What is the probability that a standard normal variable Z is less than 1.96?

Accepted Answer

0.975

Answer

0.025

Answer

0.5

Answer

0.95

Question 6

Which test is used to determine whether sample data follows a specific distribution?

Accepted Answer

Chi-square goodness-of-fit test

Answer

t-test

Answer

ANOVA

Answer

F-test