The probability distribution function for a discrete random variable T with k is a constant, is given as P(T =t)=k|3t –5|, t =1,2,3,4. Show that k: (a) and construct a probability distribution table for T. 14 (b) Find P(1

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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1.
The probability distribution function for a discrete random variable T with k is a
constant, is given as
P(T =t)=k|3t – 5|, t = 1,2,3,4.
1
and construct a probability distribution table for T.
14
(a)
Show that k
(b)
Find P(1<T <4).
(c)
Determine the mean of T.
(d)
Find the cumulative distribution of the function.
Transcribed Image Text:1. The probability distribution function for a discrete random variable T with k is a constant, is given as P(T =t)=k|3t – 5|, t = 1,2,3,4. 1 and construct a probability distribution table for T. 14 (a) Show that k (b) Find P(1<T <4). (c) Determine the mean of T. (d) Find the cumulative distribution of the function.
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