A firm where you work is concerned that employees are receiving proportionately large n of private emails through the company's official outlook email system. To assist the manas make a decision on this matter, it commissioned a study to assess the situation. The date represents the number of private emails, x, received by employees per month over the last as shown in the table below number emails (x) 0 1 2 3 4 5 days (f) 10 14 18 8 6 4 a) Is the number of emails received by employees discrete or continuous and why? b) which probability distribution can best describe the number of private emails (x) received by employees c) What in your opinion are the conditions that the random variable x must satisfy to be assumed governed by the probability distribution you have chosen in (b) above? d) Cite any other two examples of random variables in real life governed by probability distribution you have selected in (b) above e) Using the data above, determine the probability distribution of the random variable x an construct and interpret a corresponding probability histogram

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A firm where you work is concerned that employees are receiving proportionately large n of private emails through the company's official outlook email system. To assist the manas make a decision on this matter, it commissioned a study to assess the situation. The date represents the number of private emails, x, received by employees per month over the last as shown in the table below

number emails (x) 0 1 2 3 4 5
days (f) 10 14 18 8 6 4

a) Is the number of emails received by employees discrete or continuous and why?
b) which probability distribution can best describe the number of private emails (x) received by employees

c) What in your opinion are the conditions that the random variable x must satisfy to be assumed governed by the probability distribution you have chosen in (b) above?
d) Cite any other two examples of random variables in real life governed by probability distribution you have selected in (b) above

e) Using the data above, determine the probability distribution of the random variable x an construct and interpret a corresponding probability histogram

Expert Solution
Step 1

X is a discrete random variable. The mean of X is defined as

EX=xPX=x

If X has a Poisson distribution with parameter λ then the mean or expectation of X is λ.

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