Statistical Distributions
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A biased spinner can only land on one of the numbers 1, 2, 3 or 4. The random variable X X\,X represents the number that the spinner lands on after a single spin and P(X=r)=P(X=r+1)P(X = r) = P(X = r + 1)P(X=r)=P(X=r+1) for r=1,3r = 1, 3r=1,3

Given that P(X=1)=0.16P(X = 1) = 0.16P(X=1)=0.16

a.

find the complete probability distribution for XXX.

[2]
b.

Mark spins the spinner 50 times. Find the probability that the spinner lands on the number 4 more than 20 times.

[3]
c.

The random variable Y=8−3XY = 8 - 3XY=8−3X. Find P(Y+X≥1)P(Y + X \geq 1)P(Y+X≥1)

[3]

Statistical Distributions Questions

Practise Edexcel AS Level Maths Statistical Distributions with exam-style questions for AS Level Maths. 15 questions covering Probability Distributions, The Binomial Distribution, and Cumulative Probabilities, matched to the Edexcel AS Level Maths (8MA0) 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.

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Statistical Distributions Questions

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