We're going to roll three dice and choose the highest of the three dice. Here is the probability distribution for the random variable $X =$ the maximum of the three dice: a. Find the value of $P (X > 4)$ and explain what it means. b. Find the value of $P (x ? 4)$ and explain what it means. c. Draw a histogram of this distribution and use it to estimate the mean and standard deviation visually. (Don't do any calculations here-describe how you visually estimated the mean and SD.) Page Break d. Calculate the mean of the random variable $X$ .

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We're going to roll three dice and choose the highest of the three dice. Here is the probability distribution for the random variable

X =

the maximum of the three dice: a. Find the value of

P (X > 4)

and explain what it means. b. Find the value of

P (x ? 4)

and explain what it means. c. Draw a histogram of this distribution and use it to estimate the mean and standard deviation visually. (Don't do any calculations here-describe how you visually estimated the mean and SD.) Page Break d. Calculate the mean of the random variable

X

.

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