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2 Unit 2: Applied Mathematics A

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Question 100

A discrete random variable Y Y\,Y has

y012P(Y=y)k2k1−3k\begin{array}{c|rrr}y&0&1&2\\\hline P(Y=y)&k&2k&1-3k\end{array}yP(Y=y)​0k​12k​21−3k​​

Given that P(Y≥1)=0.85P(Y\geq1)=0.85P(Y≥1)=0.85,

a.

find kkk,

[2]
b.

find P(Y=2)P(Y=2)P(Y=2),

[1]
c.

find F(1)=P(Y≤1)F(1)=P(Y\leq1)F(1)=P(Y≤1).

[1]
Markscheme

2 Unit 2: Applied Mathematics A Questions

  1. A Level
  2. /Maths
  3. /2 Unit 2: Applied Mathematics A

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