Complete Question
According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 Suppose you sit on a bench in a mall and observe people's habits as they sneeze
(a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing?
Answer:
![P(X=6)=(0.162)](https://tex.z-dn.net/?f=P%28X%3D6%29%3D%280.162%29)
Step-by-step explanation:
From the question we are told that:
Sample size ![n=18](https://tex.z-dn.net/?f=n%3D18)
Probability ![P=0.267](https://tex.z-dn.net/?f=P%3D0.267)
No. that do not cover their mouth when sneezing ![x=6](https://tex.z-dn.net/?f=x%3D6)
Generally the equation for The Binomial distribution is mathematically given by
Parameters
B(18,0.267)
Therefore
![P(X=x)=(18..x)(0.267)^x(1-0.267)^{18-x}](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%2818..x%29%280.267%29%5Ex%281-0.267%29%5E%7B18-x%7D)
Where
![x=6](https://tex.z-dn.net/?f=x%3D6)
Therefore
![P(X=6)=(18..6)(0.267)^6(1-0.267)^{18-6}](https://tex.z-dn.net/?f=P%28X%3D6%29%3D%2818..6%29%280.267%29%5E6%281-0.267%29%5E%7B18-6%7D)
![P(X=6)=(0.162)](https://tex.z-dn.net/?f=P%28X%3D6%29%3D%280.162%29)
Step-by-step explanation:
Plus,Minus,Times and divide
+,-,×,÷
U can write it as:5/437=0.01144164759
Or:5÷437=0.01144164759
So, questions 1 through 3 are pretty vague and you can basically put whatever you think. But... as a hint you might want to base your answers to 1 through 3 on question 4, which is more specific and gives you some clues.
For example, question 2 asks "When do people usually need Kleenexes?" Question 4 basically answers this for you by saying "...blah blah blah are used throughout the duration of a cold." So you could easily say that people usually need Kleenexes when they are sick. You could use this same type of reasoning to answer questions 1 and 3.
To answer 4 itself you need to know how to use confidence intervals. Are you familiar with that?
Question 5 will be based off of your answer to question 4.