Calculate the expected value, the variance, and the standard deviation of the gi

Question

Calculate the expected value, the variance, and the standard deviation of the given random variable x. (Round all answers to two decimal places.) X is the number of red marbles that suzan has in her hand after she selects four marbles from a bag containing four red marbles and two green ones. expected value variance standard deviation In your bid to be elected class representative, you have your election committee survey five randomly chosen students in your class and ask them to rank you on a scale of 0-10. Your rankings are 9, 4, 4, 6, 7. (a) Find the sample mean and standard deviation. (Round your answers to two decimal places.) sample mean standard deviation (b) Assuming the sample mean and standard deviation are indicative of the class as a whole, in what range does the empirical rule predict that approximately 68% of the class will rank you?

Explanation / Answer

a) Sample mean = 6

Sample std. deviation = 2.121

b) 68% of data lie within 0ne standard deviation and mean

interval with endpoints = mean + / - s

= 6 + / - 2.121

= ( 3.879 , 8 .121)

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