Question

The following table gives the probability distribution for a random variable X. x P(x) 2 0.008...

The following table gives the probability distribution for a random variable X.

x P(x)
2 0.008
3 0.076
4 0.264
5 0.412
6 0.240

a) Find the mean of X. (decimal answer, rounded 1 decimal place)

b) Find the standard deviation of X. (decimal answer, rounded 3 decimal places)

c) Find the probability that X is 2 or 3. (decimal answer, rounded 3 decimal places)

d) Find the probability that X is at least 4.(decimal answer, rounded 3 decimal places)

e) Identify the shape of the distribution for X. (letter only, choose one)

A) skewed-left

B) skewed-right

C) bell-shaped

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