Given that $X\sim B\left( 28,0.28 \right)$, show that $\frac{{{p}_{r+1}}}{{{p}_{r}}}=\left( \frac{7}{18} \right)\left( \frac{28-r}{r+1} \right)$ where ${{p}_{r}}=\mathrm{P}\left( X=r \right)$.
Hence show that ${{p}_{1}}=\left( \frac{98}{9} \right){{p}_{0}}$ and ${{p}_{2}}=\left( \frac{21}{4} \right){{p}_{1}}$.
Use the further results of this form to find the most probable value of $X$.

Given that $X\sim B\left( 28,0.28 \right)$, show that $\frac{{{p}_{r+1}}}{{{p}_{r}}}=\left( \frac{7}{18} \right)\left( \frac{28-r}{r+1} \right)$ where ${{p}_{r}}=\mathrm{P}\left( X=r \right)$.

Hence show that ${{p}_{1}}=\left( \frac{98}{9} \right){{p}_{0}}$ and ${{p}_{2}}=\left( \frac{21}{4} \right){{p}_{1}}$.

Use the further results of this form to find the most probable value of $X$.

Binomial Distribution - General

Binomial Distribution

H2 Math

International Baccalaureate Higher Level Mathematics

Binomial Distribution - Binomial Distribution - General

Question 0456f8b8

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