Answer-
The mean of this binomial distribution was found to be 92.82
Solution-
The distribution is given as Binomial distribution.
In binomial distribution the mean is calculated as,
[tex]\mu_{x}=n\cdot p[/tex]
where
n = number of trials = 546
p = probability of success = 17% = 0.17
Putting the values,
[tex]\mu_{x}=546\times 0.17=92.82[/tex]
Therefore, the mean of this binomial distribution is 92.82