<p>In a binomial probability distribution there are $n$ trials and the probability of success for each trial is $p$. If the mean is $8$ and the variance is $4.8$, find the value of $n$ and $p$. Denoting $\mathrm{P}\left( X=r \right)$ by $p_{r}$, show that $\frac{p_{r+1}}{p_{r}}=\frac{2\left( 20-r \right)}{3\left( r+1 \right)}$, where $r=0,1,2,3,.....,18,19$ . Hence find the mode of $X$.</p>

In a binomial probability distribution there are $n$ trials and the probability of success for each trial is $p$. If the mean is $8$ and the variance is $4.8$, find the value of $n$ and $p$. Denoting $\mathrm{P}\left( X=r \right)$ by $p_{r}$, show that $\frac{p_{r+1}}{p_{r}}=\frac{2\left( 20-r \right)}{3\left( r+1 \right)}$, where $r=0,1,2,3,.....,18,19$ . Hence find the mode of $X$.

Binomial Distribution

H2 Math

International Baccalaureate Higher Level Mathematics

Binomial Distribution

Question 1268ad1d

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