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What is the value if the constant c for p(x) to qualify as a probability mass function? p(x)=c(1/4)x-1 if x = 1, 2, 3, 4, 5, ... and p(x) = 0 otherwise.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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What is the value if the constant c for p(x) to qualify as a probability mass function?

p(x)=c(1/4)^x-1 if x = 1, 2, 3, 4, 5, ...

and p(x) = 0 otherwise.

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In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) (a) Φ(c) = 0.9850 (b) P(0 ≤ Z ≤ c) = 0.2995 (c) P(c ≤ Z) = 0.1314 (d) P(−c ≤ Z ≤ c) = 0.6528 (e) P(c ≤ |Z|) = 0.0128 You may need to use the appropriate table in the Appendix of Tables to answer this question.