Explain how they got the answer picture below: 8:13MATH • PROBABILIITYShow correct probability notation on your work 6quarters are flipped. What is the probability that 4and 2 tails the results? (Round your answer to 4decimal places.)Expert Answer OStep1а)The notation for the probability that 4 heads and 2tails the results will be as given below:6-n6.nm%3D4Step2b)The probability value is as given below:6-n6Un=432=0.3438?VX

Answered: MATH • PROBABILITY Show correct…

MATH • PROBABILITY Show correct probability notation on your work 6 quarters are flipped. What is the probability that 4 and 2 tails the results? (Round your answer to 4 decimal places.)

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

Explain how they got the answer picture below:

8:13
MATH • PROBABILIITY
Show correct probability notation on your work 6
quarters are flipped. What is the probability that 4
and 2 tails the results? (Round your answer to 4
decimal places.)
Expert Answer O
Step1
а)
The notation for the probability that 4 heads and 2
tails the results will be as given below:
6-n
6.
n
m%3D4
Step2
b)
The probability value is as given below:
6-n
6
Un=4
32
=0.3438
?
VX

Expert Solution

Step 1

Binomial Distribution: If we have n trials each having two outcomes, say Success and Failure, trials being independent and the probability of success, say p, remaining constant, then the distribution of the number of success follows binomial.

Let us assume X be a random variable denoting the number of success.

Then , n and p being the parameters of the binomial distribution.

The probability mass function of X is given by,

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