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

2. Let be 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 and such that P (a <>Y  < b)="">= 0.95.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M91640196

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