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2 Unit 2: Applied Mathematics A

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Question 89

The probability distribution of X X\,X is

x0123P(X=x)0.10.30.40.2\begin{array}{c|rrrr}x&0&1&2&3\\\hline P(X=x)&0.1&0.3&0.4&0.2\end{array}xP(X=x)​00.1​10.3​20.4​30.2​​

a.

Construct a table for F(x)=P(X≤x)F(x)=P(X\leq x)F(x)=P(X≤x) at x=0,1,2,3x=0,1,2,3x=0,1,2,3.

[2]
b.

Find P(1≤X<3)P(1\leq X<3)P(1≤X<3).

[1]
c.

Find the smallest integer m m\,m for which P(X≤m)≥0.75P(X\leq m)\geq0.75P(X≤m)≥0.75.

[2]
Markscheme

2 Unit 2: Applied Mathematics A Questions

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

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