SOLUTION: 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 n
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Question 1200452: 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’, other ‘too low’?
c. One will answer ‘too high’, other ‘too low’?
d. Exactly two will answer ‘too low’?
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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’, others ‘too low’?
c. One will answer ‘too high’, others ‘too low’?
d. Exactly two will answer ‘too low’?
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Notice how I edited your post to make it sensible.
(a) P = . Use your calculator.
(b) P = 0.60*0.05*0.05. Use your calculator.
(c) P = = 3*0.60*0.05*0.05. Use your calculator.
(d) P = + + =
= 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.