The random variable X has a uniform distribution with values between 15 and 17.

What is the mean and standard deviation of X?

Mean X⎯⎯⎯.

X

-

.

The value x⎯⎯=152

x

-

=

152

happens only one way (the rower weighing 152 pounds must be selected both times), as does the value x⎯⎯=164

x

-

=

164

, but the other values happen more than one way, hence are more likely to be observed than 152 and 164 are. Since the 16 samples are equally likely, we obtain the probability distribution of the sample mean just by

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