StudentAidProbability & Statistics 1 — Variant 1
A Level Mathematics · 9709/51 · May/June 2023
Questions
3 of 7 questions shown here, checked against the paper. The others are in the PDF above — they contain diagrams or maths we could not yet verify, and we would rather show you the original than a transcription we are not sure of.
1
A summary of 50 values of gives , , where is a constant.
1(a)
[2]
Find the standard deviation of these values of .
1(b)
[2]
Given that , find the value of .
3
3(a)
[1]
Find the number of different arrangements of the 8 letters in the word COCOONED.
3(b)
[2]
Find the number of different arrangements of the 8 letters in the word COCOONED in which the first letter is O and the last letter is N.
3(c)
[3]
Find the probability that a randomly chosen arrangement of the 8 letters in the word COCOONED has all three Os together given that the two Cs are next to each other.
7
A children's wildlife magazine is published every Monday. For the next 12 weeks it will include a model animal as a free gift. There are five different models: tiger, leopard, rhinoceros, elephant and buffalo, each with the same probability of being included in the magazine. Sahim buys one copy of the magazine every Monday.
7(a)
[2]
Find the probability that the first time that the free gift is an elephant is before the 6th Monday.
7(b)
[3]
Find the probability that Sahim will get more than two leopards in the 12 magazines.
7(c)
[3]
Find the probability that after 5 weeks Sahim has exactly one of each animal.
Published by Cambridge Assessment International Education. Reproduced for study use.