Q 2(b) For a certain population of people, you are told the mean salary is €43,000 and its standard deviation is €15,000. You can assume the salaries are normally distributed. What is the probability of a person having a salary less than €43,000? What is the probability of a person having a salary greater than €58,000? What is the probability if you randomly selected a person, they would have a salary greater than €43,000 or less than €28,000?

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For each of these questions explain your answers i.e. show your reasoning.
Q 2(b)
For a certain population of people, you are told the mean salary is €43,000 and its
standard deviation is €15,000. You can assume the salaries are normally distributed.
(i)
(ii)
(iii)
What is the probability of a person having a salary less than €43,000?
What is the probability of a person having a salary greater than €58,000?
What is the probability if you randomly selected a person, they would have
a salary greater than €43,000 or less than €28,000?
Transcribed Image Text:For each of these questions explain your answers i.e. show your reasoning. Q 2(b) For a certain population of people, you are told the mean salary is €43,000 and its standard deviation is €15,000. You can assume the salaries are normally distributed. (i) (ii) (iii) What is the probability of a person having a salary less than €43,000? What is the probability of a person having a salary greater than €58,000? What is the probability if you randomly selected a person, they would have a salary greater than €43,000 or less than €28,000?
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