Pens are packed in boxes.
There are 6 pens in each box.
The probability that any pen is defective is 0.1.
A box of pens is picked at random.
Find the probability that the box contains exactly one defective pen.
Give your answer correct to 3 significant figures.
You may use (p+q)6=p6+6p5q+15p4q2+20p3q3+15p2q4+6pq5+q6(p + q)^6 = p^6 + 6p^5q + 15p^4q^2 + 20p^3q^3 + 15p^2q^4 + 6pq^5 + q^6(p+q)6=p6+6p5q+15p4q2+20p3q3+15p2q4+6pq5+q6.
Find the probability that the box contains at most one defective pen.
Give your answer correct to 3 significant figures.
Suki buys 125 boxes of pens.
Find an estimate for the number of boxes that contain less than two defective pens.
Practise AQA GCSE Statistics The Binomial Distribution with exam-style questions for Foundation and Higher tier. 4 questions, matched to the AQA GCSE Statistics (8382) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.