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Mean, Variance and Standard Deviation of a Continuous Random Variable 37. Consider the density function (?)=3?...

Mean, Variance and Standard Deviation of a Continuous Random Variable

37. Consider the density function (?)=3? 2 on the interval [0,1]. Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density function and round your answers to four decimal places [Clearly state the method you used and how you calculated your result if you used the calculator]

38.Find the median of the random variable with the probability density function given in question 37 round your answers to four decimal places.

39.Assuming that workers' salaries in your company are uniformly distributed between $10,000 and $60,000 per year, calculate the average salary in your company.

40. Your company's new series "Avocado Comedy Hour" has been a complete flop, with viewership continuously declining at a rate of 35% per month. How long will the average viewer continue to watch the show? (Round your answer to the nearest year.)

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