Question:medium

If $X$ has the $F$ distribution with $m, n$ degree of freedoms and let $Y=\frac{1}{X}$ then for $a>0$ $P[X\le a]+P[Y\le\frac{1}{a}]$ is equal to

Show Hint

The reciprocal property $1/F_{m,n} = F_{n,m}$ is a fundamental characteristic of the F-distribution. This question simplifies significantly once you realize $P(1/X \le 1/a)$ is just the complement of $P(X \le a)$.
Updated On: Jun 6, 2026
  • $0$
  • $a$
  • $1$
  • $2a$
Show Solution

The Correct Option is C

Solution and Explanation

Was this answer helpful?
0

Top Questions on Standard Distributions

Questions Asked in CUET (PG) exam