Statistics and Probability Concepts Quiz

What is the variance of a Poisson Distribution?

Which type of random variable is normally distributed?

What does a correlation coefficient value of -0.2 indicate?

For which type of function does the trapezoidal rule provide an exact integral value?

What is the total area under a standard normal distribution curve?

How many elements are there in the sample space when tossing a coin and rolling a die?

What is the value of the divided difference $[x_0, x_1]$ given $x_0 = 2$, $x_1 = 3$, $f(x_0) = 5$, and $f(x_1) = 6$?

As 'n' increases, what does the Binomial Distribution tend to do?

Question 1

Variance of Poisson Distribution is $\lambda$
Normal distribution is applied for Continuous Random Variable
When Correlation Coefficient value is -0.2 then correlation is Weak negative correlation
Trapezoidal rule gives exact value of integral if integrand is Linear
The area under a standard normal curve is 1
There are 12 elements in the sample space (S) when tossing a coin and rolling a die together.
The value of the divided difference $[x_0, x_1]$ is 1
For larger values of 'n', Binomial Distribution tends to Poisson Distribution
The mean of the probability distribution of the number of heads obtained in 676 flips of a balanced coin is 338
In Simpson's $\frac{1}{3}$ rd Rule, $f(x)$ is assumed to be polynomial of Degree Two

Question 2 (A)

The probability of transmitting a 1 is 0.4
The probability of transmitting a 0 is 0.6
The probability of correctly receiving a 0 is 0.90
The probability of correctly receiving a 1 is 0.95
The probability of incorrectly receiving a 0 is 0.10
The probability of incorrectly receiving a 1 is 0.05

Question 2 (B)

A system of linear equations is diagonally dominant if the absolute value of the diagonal element in each row is greater than the sum of the absolute values of the other elements in that row.

Test your understanding of key statistics and probability concepts including distributions, correlation, and rules of integration. This quiz covers essential topics that are crucial for mastering the fundamentals of statistics. Perfect for students in advanced statistics courses!