Variables from an exponential distribution

Reference no: EM13965234

1. Let X and Y be independent random variables from an exponential distribution with common parameter θ = 1. Show that X/Y has an F -distribution. What is the number for degrees of freedom?

2. Let X be F distributed with 9 numerator and 12 denominator degrees of freedom. Find

(a) P (X ≤ 3.87),

(b) P (X ≤ 0.196),

(c) The value of a and b such that P (a <>Y < b)="">= 0.95.

Reference no: EM13965234

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