What is the probability distribution of the sum of the outcomes of the flips

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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We flip a biased coin two times. The flips are independent. The coin has P(H) = 0.7 and P(T) = 0.3. We record a 1 when it comes up heads, and when it comes up tails, we record a 0. What is the probability distribution of the sum of the outcomes of the flips?

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