SOLUTION: An employee is selected from a staff of 10 to supervise a certain project by selecting a tag at random from a box containing 10 tags numbered 1-10. Find the formula for the probabi

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Question 355234: An employee is selected from a staff of 10 to supervise a certain project by selecting a tag at random from a box containing 10 tags numbered 1-10. Find the formula for the probability distribution of X representing the number on the tag that is drawn. Find the probability that the number is less than 4. find the mean and variance of this random variable.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Each number is equally likely,
P%28x%29=0.1, for x=1-10.
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P%28x%3C4%29=P%281%29%2BP%282%29%2BP%283%29=0.30
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Mean=mu=sum%28x%2AP%28x%29%2Ci=1%2C10%29=5.5
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Var=sum%28%28x-mu%29%5E2%2AP%28x%29%2Ci=1%2C10%29=8.25