Answer:
65 dinners are expected to show up
The standard deviation of the distribution is 3.13
Step-by-step explanation:
Given
Proportion = 15%
Population = 77
Required
Expected Number that'll show up
Standard Deviation
<em>If 15% won't show up; then</em>
<em>100% - 15% = 85% will show up</em>
Expected Number, E(x) of Dinner is calculated as thus;
Where (calculated above)
and
Convert p to decimal
So;
<em>65 dinners are expected to show up</em>
Calculating Standard Deviation, SD
Standard Deviation is calculated as;
Substitute 0.85 for p and 77 for n
(Approximated)
<em>The standard deviation of the distribution is 3.13</em>