Which of the following are correct?
(A) The probability curve in t-distribution is symmetric about the line $t=0$.
(B) t-axis is an asymptote of the curve.
(C) The variable t of t-distribution ranges from -∞ to ∞
(D) As the number of degrees of freedom increases, the t-distribution curve moves closer to the binomial distribution.
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (A), (B) and (C) only **
$\textbf{Facts about the t-distribution:}$
(A) The probability curve of the t-distribution is symmetric about $t=0$ → True.
(B) The t-axis is an asymptote of the curve → True (tails approach the axis but never touch).
(C) The variable $t$ ranges from $-\infty$ to $\infty$ → True.
(D) As degrees of freedom increase, t-distribution approaches the normal distribution, not the binomial → False.
The correct statements are (A), (B), and (C).