What is the mean when the number of trial is 30 and the probability of success is 0.77? Answer to 1 decimal place. square

To find the mean of a binomial distribution, we use the formula:<br /><br />\[ \mu = n \cdot p \]<br /><br />where:<br />- \( n \) is the number of trials,<br />- \( p \) is the probability of success.<br /><br />Given:<br />- \( n = 30 \)<br />- \( p = 0.77 \)<br /><br />Substitute these values into the formula:<br /><br />\[ \mu = 30 \cdot 0.77 \]<br /><br />Calculate the product:<br /><br />\[ \mu = 23.1 \]<br /><br />So, the mean is \( 23.1 \) (rounded to 1 decimal place).