Answered: A weighted coin has a 62% chance of…

A weighted coin has a 62% chance of landing on heads. You decide to flip the coin 3 times. Construct a tree diagram and determine the probability that the coin lands on heads only two times.

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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Question

A weighted coin has a 62% chance of landing on heads. You decide to flip the coin 3 times. Construct a tree diagram and determine the probability that the coin lands on heads only two times.

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Expert Solution

Step 1

Given:

n = 3

Probability of landing head p = 0.62

Probability of landing tell q = 1 $-$ 0.62

q = 0.38

Formula Used:

X $~$ B(n, p)

P(X = x) = ${}^{n}C_{x} p^{x} q^{n - x}$

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