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the 1,6,15,20,15,6 come in as part of the answer

the 1,6,15,20,15,6 come in as part of the answer

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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Hi,

I understand how to obtain n, p, q and x but where does the 1,6,15,20,15,6 come in as part of the answer?

Thank you.

EXAMPLE 3 Constructing a Binomial Distribution In a survey, U.S. adults were asked to identify which social media platform platform Facebook. Construct a binomial probability distribution for the the survey are randomly selected and asked whether they use the social media they use. The results are shown in the figure. Six adults who participated i number of adults who respond yes. (Source: Pew Research) 68% Which Social Media Platforms Do You Use? Facebook and 28% Instagram 26% Pinterest 25% Linkedin 21% Twitter SOLUTION From the figure, you can see that 68% of adults use the social media platform Facebook. So, P = 0.68 and 9 = 0.32. Because n = 6, the possible values of x are 0, 1, 2, 3, 4, 5, and 6. The probabilities of each value of x are P(0) = Co(0.68) °(0.32)6 = 1(0.68) °(0.32) = 0.001 S P(1) = C₁ (0.68) ¹ (0.32) 5 = 6(0.68) ¹ (0.32)³= 0.014 P(2) = 6C₂(0.68) 2 (0.32)4 = 15 (0.68) ² (0.32) 4 0.073 P(3) = 6C3(0.68) ³ (0.32)³ = 20 (0.68) ³ (0.32)³3 = 0.206 P(4) = C4(0.68)*(0.32)² = 15 (0.68) 4 (0.32) ² ≈ 0.328 P(5) = 6C5 (0.68) 5 (0.32)¹ = 6(0.68) 5 (0.32)¹ ≈ 0.279 Rd P(6) = 6C6(0.68)(0.32) = 1(0.68)6(0.32) ≈ 0.099. Notice in the table at the left that all the probabilities are between 0 and 1 that the sum of the probabilities is 1.
Transcribed Image Text:EXAMPLE 3 Constructing a Binomial Distribution In a survey, U.S. adults were asked to identify which social media platform platform Facebook. Construct a binomial probability distribution for the the survey are randomly selected and asked whether they use the social media they use. The results are shown in the figure. Six adults who participated i number of adults who respond yes. (Source: Pew Research) 68% Which Social Media Platforms Do You Use? Facebook and 28% Instagram 26% Pinterest 25% Linkedin 21% Twitter SOLUTION From the figure, you can see that 68% of adults use the social media platform Facebook. So, P = 0.68 and 9 = 0.32. Because n = 6, the possible values of x are 0, 1, 2, 3, 4, 5, and 6. The probabilities of each value of x are P(0) = Co(0.68) °(0.32)6 = 1(0.68) °(0.32) = 0.001 S P(1) = C₁ (0.68) ¹ (0.32) 5 = 6(0.68) ¹ (0.32)³= 0.014 P(2) = 6C₂(0.68) 2 (0.32)4 = 15 (0.68) ² (0.32) 4 0.073 P(3) = 6C3(0.68) ³ (0.32)³ = 20 (0.68) ³ (0.32)³3 = 0.206 P(4) = C4(0.68)*(0.32)² = 15 (0.68) 4 (0.32) ² ≈ 0.328 P(5) = 6C5 (0.68) 5 (0.32)¹ = 6(0.68) 5 (0.32)¹ ≈ 0.279 Rd P(6) = 6C6(0.68)(0.32) = 1(0.68)6(0.32) ≈ 0.099. Notice in the table at the left that all the probabilities are between 0 and 1 that the sum of the probabilities is 1.
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Could you please breakdown probability (P (1)  for me which results in 6, 0.68, squared and results in 0.014 as the final answer.

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