OCR GCE AS LEVEL FURTHER MATHEMATICS B PAPER 1 QUESTION PAPER 2023 (Y412/01: Statistics A)

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OCR GCE AS LEVEL FURTHER MATHEMATICS B PAPER 1 QUESTION PAPER 2023 (Y412/01: Statistics A). DOWNLOAD OFFICIAL AND VERIFIED OCR AS LEVEL FURTHER MATHEMATICS B PA...

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OCR GCE AS LEVEL FURTHER MATHEMATICS B PAPER 1 QUESTION PAPER 2023 (Y412/01: Statistics A). DOWNLOAD OFFICIAL AND VERIFIED OCR AS LEVEL FURTHER MATHEMATICS B PAPER 1 QUESTION PAPER 2023 ON www.leakedexams.com.

Â Ryan has 6 one-pound coins and 4 two-pound coins. Ryan decides to select 3 of these coins
at random to donate to a charity. The total value, in pounds, of these 3 coins is denoted by the
random variable X.
(a) Show that P( ) X 3 6
1 = = . [2]
The table below shows the probability distribution of X.
r 3 4 5 6
P( ) X r = 6
1
2
1
10
3
30
1
(b) Draw a graph to illustrate the distribution. [2]
(c) In this question you must show detailed reasoning.
Â Find each of the following.
â€¢ E(X)
â€¢ Var(X) [5]
Ryanâ€™s friend Sasha decides to give the same amount as Ryan does to the charity plus an extra
three pounds. The random variable Y represents the total amount of money, in pounds, given by
Ryan and Sasha.
(d) Determine each of the following.
â€¢ E(Y)
â€¢ Var(Y) [3]

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Author	OCR KING
Published	30 Jul 2024
Included files	PDF
Y412 Y412/01 OCR GCE AS LEVEL FURTHER MATHEMATICS B PAPER 1 QUESTION PAPER 2023 OCR AS LEVEL MATHEMATICS B PAPER 1 OCR MATHEMATICS PAPER 1 2023 MATHEMATICS B PAPER 1 OCR OCR MATHEMATICS 2023 OCR AS LEVEL MATHEMATICS PAPER 1 2023 MATHEMATICS