(a)
\The total number of hits by each wildcats player is
.
The probability of the player
is
.
Similarlly
.
.
.
.
The probability distribution of
is
Players, ![]() | \
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Graph :
\Graph of the probability distribution.
\
(b)
\The mean value is
.
.

The mean value is
.
(c)
\The variance of random variable
is
.
.

The variance is
.
The standard deviation is
.
Substitute
.
.
Therefore, the standard deviation is
.
The probability distribution of
is
Players, ![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
![]() | \
Graph of the probability distribution is.
\
The mean value of a random variable
is
.
The variance of a random variable
is
.
The standard deviation of a random variable
is
.