Respuesta :
According to the discrete distribution given, it is found that the expected value of the amount of time Kelsie spends filling out daily sales reports is of 9.5 minutes.
The discrete distribution given is:
[tex]P(X = 0) = 0.3[/tex]
[tex]P(X = 10) = 0.5[/tex]
[tex]P(X = 20) = 0.15[/tex]
[tex]P(X = 30) = 0.05[/tex]
The mean of a discrete distribution is the sum of each outcome multiplied by it's respective probability, hence:
[tex]E(X) = 0(0.3) + 10(0.5) + 20(0.15) + 30(0.05) = 9.5[/tex]
The expected value of the amount of time Kelsie spends filling out daily sales reports is of 9.5 minutes.
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