Statistics and Probability Concepts Quiz

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Questions and Answers

What is the variance of a Poisson Distribution?

  • $npq$
  • $ ext{λ}$ (correct)
  • $2 ext{λ}$
  • $ ext{λ}^2$

Which type of random variable is normally distributed?

  • Irregular Random Variable
  • Continuous Random Variable (correct)
  • Discrete Random Variable
  • Uncertain Random Variable

What does a correlation coefficient value of -0.2 indicate?

  • Strong positive correlation
  • Strong negative correlation
  • Weak negative correlation (correct)
  • Weak positive correlation

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

<p>Linear (A)</p> Signup and view all the answers

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

<p>1 (A)</p> Signup and view all the answers

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

<p>12 (D)</p> Signup and view all the answers

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

<p>1 (B)</p> Signup and view all the answers

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

<p>Tend to Poisson Distribution (B)</p> Signup and view all the answers

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Study Notes

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.

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