Mean and Variance

Question

Thirty-seven in one hundred travellers named “crying kids” as the most annoying on a flight.

You randomly select eight people and asked them if crying kids are the most annoying on a flight.

Compute the mean and the variance respectively.

Is the answer this 2.96(mean), 1.8648(variance) or 2.96(mean), 1.0952(variance).

Answer 1

$37$ in $100 = 37\%$, $n=8, p=0.37, q=0.63$

mean $\quad = np =8 \times 0.37 = 2.96$

variance $=npq=8\times0.37\times0.63=1.8648$

Answer : $2.96$ and $1.8648$