The random variable $X\,$ has the distribution $\sim B(n, 0.25)$ , and

$P (X = 0) < 0.01$

Show that $n>log⁡0.01log⁡0.75\displaystyle n > \frac{\log 0.01}{\log 0.75}$ .

Find the smallest possible value of $n$ .

For this value of $n$ , find $P (X = 2)$ .

For this value of $n$ , find $\ge 4)$ .

The random variable $X\,$ has the distribution $\sim B(n, 0.25)$ , and

$P (X = 0) < 0.01$

Show that $n>log⁡0.01log⁡0.75\displaystyle n > \frac{\log 0.01}{\log 0.75}$ .

Find the smallest possible value of $n$ .

For this value of $n$ , find $P (X = 2)$ .

For this value of $n$ , find $\ge 4)$ .

2 Statistics

2 Statistics Questions