Suppose that a recent poll found that $$ 51 \% $$ of adults believe that the overall state of moral values is poor. Complete parts (a) through (c). (a) For 200 randomly selected adults, compute the mean and standard deviation of the random variable $$ X $$, the number of adults who believe that the overall state of moral values is poor. The mean of $$ X $$ is $$ \square $$. (Round to the nearest whole number as needed.)

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We are given a poll with a proportion of adults who believe that the overall state of moral values is poor as 
$$
p = 0.51.
$$
For a sample of 
$$
n = 200
$$
adults, the number $$ X $$ of adults who believe so follows a binomial distribution.

The mean of $$ X $$ is computed as
$$
\mu = n \cdot p = 200 \times 0.51 = 102.
$$

Thus, the mean of $$ X $$ is $$ 102 $$.
The mean of $$ X $$ is $$ 102 $$.

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