Answer: 0.1334
Step-by-step explanation:
Given
There are seven trails with a probability of success is [tex]p=\frac{1}{4}[/tex]
[tex]\therefore q=1-p\\q=1-\frac{1}{4}\\q=\frac{3}{4}[/tex]
Using the binomial distribution, the Probability of exactly no success i.e. x=0 is given by
[tex]\Rightarrow ^7C_0\cdot p^0 \cdot q^{7-0}\\\Rightarrow 1\times(\frac{1}{4})^0 \cdot (\frac{3}{4})^7\\\Rightarrow 1\times 1 \cdot (0.75)^7\\\Rightarrow 0.1334[/tex]
