(a) A weighted coin has probability 2/3 of coming up heads and probability 1/3 of coming up tails. The coin is tossed twice. Let x = number of heads. Set up the sample space for x and the associated probabilities.(b) Find x and σ.(c) If in (a) you know that there was at least one tail, what is the probability that both were tails?

(a) A weighted coin has probability 2/3 of coming up heads and probability 1/3 of coming up tails. The coin is tossed twice. Let x = number of heads. Set up the sample space for x and the associated probabilities.(b) Find x and σ.(c) If in (a) you know that there was at least one tail, what is the probability that both were tails?

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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(a) A weighted coin has probability 2/3 of coming up heads and probability 1/3 of coming up tails. The coin is tossed twice. Let x = number of heads. Set up the sample space for x and the associated probabilities.
(b) Find x and σ.
(c) If in (a) you know that there was at least one tail, what is the probability that both were tails?

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