Consider the discrete random variable X given in the table below. Calculate the mean, variance, and standard deviation of X . Also, calculate the expected value of X . Round solution to three decimal places, if necessary. x 6 8 9 15 P ( x ) 0.64 0.14 0.14 0.08 μ = σ 2 = σ = What is the expected value of X ? E ( X )

Expected value or mean =

Variance =

Standard deviation =

Step-by-step explanation:

We are given the following information:

x       |      P(x)

6       |     0.64

8       |     0.14

9       |     0.14

15     |     0.08

The expected value or mean is given by

The variance is given by

The standard deviation is given by

Therefore,

Expected value or mean =

Variance =

Standard deviation =

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13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas