A random variable X X\,X has the probability function:
| xxx | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| P(X=x)P(X=x)P(X=x) | 227\displaystyle \frac{2}{27}272 | 327\displaystyle \frac{3}{27}273 | 427\displaystyle \frac{4}{27}274 | 527\displaystyle \frac{5}{27}275 | 627\displaystyle \frac{6}{27}276 | 727\displaystyle \frac{7}{27}277 |
Show that
P(X=x)=x+127x=1,2,3,4,5,6 P(X=x)=\frac{x+1}{27} \quad x=1,2,3,4,5,6 P(X=x)=27x+1x=1,2,3,4,5,6Find P(1.5<X<3.5)P(1.5 < X < 3.5)P(1.5<X<3.5)
Construct a table for the cumulative distribution F(x)F(x)F(x)
215 exam-style questions on Edexcel A Level Maths Statistical Distributions, covering 6.1 Probability Distributions, 6.2 The Binomial Distribution, and 6.3 Cumulative Probabilities. Each one has a worked solution and a mark scheme showing where the marks go.