Question 1200452
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1. A questionnaire asks shareholders of a company to state whether they consider 
the chairman’s salary to be too high, about right, or too low. 
Excluding shareholders who have no opinion, the probabilities of answers 
from randomly selected shareholders are as follows:
Too High 0.60
About Right 0.25
Too Low 0.05
What are the probabilities that if three shareholders are selected at random,
a. They will all answer, ‘too high’?
b. First will answer ‘too high’, {{{highlight(cross(other))}}} <U>others</U> ‘too low’?
c. One will answer ‘too high’, {{{highlight(cross(other))}}} <U>others</U> ‘too low’?
d. Exactly two will answer ‘too low’?
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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Notice how I edited your post to make it sensible.



<pre>
(a)  P = {{{0.60^3}}}.    Use your calculator.


(b)  P = 0.60*0.05*0.05.   Use your calculator.


(c)  P = {{{C[3]^1*0.60*0.05*0.05}}} = 3*0.60*0.05*0.05.    Use your calculator.


(d)  P = {{{C[3]^1*0.60*0.05*0.05}}} + {{{C[3]^1*0.25*0.05*0.05}}} + {{{C[3]^1*(1-0.6-0.25-0.05)*0.05*0.05}}} = 

       = 3*0.60*0.05*0.05 + 3*0.25*0.05*0.05 + 3*0.1*0.05*0.05.   Use your calculator.


         The third addend is the contribution of a person who has no opinion.
</pre>

Solved.


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This problem is on a binomial distribution.


To see many other similar &nbsp;(and different) &nbsp;solved problems, &nbsp;look into the lessons

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Solving-problems-on-Binomial-distribution-manually.lesson>Simple and simplest probability problems on Binomial distribution</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Typical-binomial-distribution-probability-problems.lesson>Typical binomial distribution probability problems</A> 

in this site.


Learn the entire subject from there.