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Good morning, I understand how to get P&Q and an x, the only portion I don't understand is for example with the probability of zero it's still showing the beginning answer is equal one.  With the probability of one we are showing the answer beginning with the number 6 and as you go down the row the answers begin with 15, 20, 15 and end with 6. Why is there a whole number before the value of P and the value of Q? Could you please write it out

Good morning, I understand how to get P&Q and an x, the only portion I don't understand is for example with the probability of zero it's still showing the beginning answer is equal one.  With the probability of one we are showing the answer beginning with the number 6 and as you go down the row the answers begin with 15, 20, 15 and end with 6. Why is there a whole number before the value of P and the value of Q? Could you please write it out

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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Good morning,

I understand how to get P&Q and an x, the only portion I don't understand is for example with the probability of zero it's still showing the beginning answer is equal one.  With the probability of one we are showing the answer beginning with the number 6 and as you go down the row the answers begin with 15, 20, 15 and end with 6.

Why is there a whole number before the value of P and the value of Q? Could you please write it out so I may understand for future examples. 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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