Mathematics 9709 · AS & A Level · Sampling and estimation
Sampling and estimation — practice question
For this theatre, the proportion of men among the people who attend is $34\%$ on average.
(i)[3]
A random sample of 14 people attending the theatre is selected. Find the probability that no more than 2 of them are men.
(ii)[5]
Use an approximation to calculate the probability that, in a random sample of 600 people who go to the theatre, fewer than 190 are men.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A correct binomial expression, for example $\sum_{x=0}^2 {}^{14}C_x 0.34^x 0.66^{14-x}$” …