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Statistical Distributions

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Question 3

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

  1. AS Level
  2. /Maths
  3. /Statistical Distributions