The table below represents the probability density function for the random variable X. Find the standard deviation of X. Round the final answer to two decimal places. x   P(X = x)  0  1/4  1  1/4  2  1/4  5  1/4

Find the mean and standard deviation for the probability distribution below. Round to two decimal places, if needed. x P(x) 1 0.127 2 0.376 3 0.248 4 0.188 5 0.061 µ =  σ =

Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are 0, 2, 4, 5, and 6. Value x of X 0 2 4 5 6 P(X = x) 0.26 0.17 0 0 0.18

ind the mean and standard deviation for the probability distribution below. Round to two decimal places, if needed. x P(x) 1 0.214 2 0.048 3 0.359 4 0.232 5 0.147 µ =  σ =

Fill in the P (X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -4, 1, 2, 4, and 5. Value x of X P(x = x) -4 1 0.30 0.26 4. 0.21

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Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are 0, 2, 4, 5, and 6. Value x of X P(X = x) 0.26 4 0.30 0.11

Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are -6, -1, 2, 3, and 4. Value x of X -6 -1 2 3 4 X P ( X = x) 0.28 0 0.12 0 0.29

Fill in the P (X = x) values to give a legitimate probability distribution for the discrete random variable X, whose possible values are −3, 2, 4, 5, and 6. Value x of X P (X = x) −3   2 0.11 4 0.20 5   6 0.16

coca-cola is wary that their machines are getting too old and that they are not consistent. they randoly select 15 bottles of coca-cola and got a mean of 16.95 ounce sith a standard deviation of .67 ounce. assume the population is normally distributed. A- construct a 95% confidence interval for the population standard deviation B if the standard deviation is 1-ounce or more, coca-cola need to replace all of their machines. looking at part a) confidence interval should they considered rplacing all of their machines? Explain why or why not