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A fair coin is tossed 9 times. What is the probability that: a)   Exactly 7 heads appear?  b)   At least two heads appear?  c)   At most 6 heads appear?

A fair coin is tossed 9 times. What is the probability that: a)   Exactly 7 heads appear?  b)   At least two heads appear?  c)   At most 6 heads appear?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A fair coin is tossed 9 times. What is the probability that:
a)   Exactly 7 heads appear? 
b)   At least two heads appear? 
c)   At most 6 heads appear?  

Expert Solution
Step 1: Introduce the given information

Given a fair coin is tossed 9 times.

So, Probability of heads = probability of tails = 0.5

That is, probability of success, p = 0.5

Number of trials, n = 9

Let X be a random variable represents the number of heads appear.

Using formula,

P left parenthesis X equals r right parenthesis equals C presuperscript n subscript r cross times left parenthesis p right parenthesis to the power of r cross times left parenthesis 1 minus p right parenthesis to the power of n minus r end exponent

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