Question

find the probability of x successes in n trials for the given probability of success p on each trial.

3. x=5, n=5, p=0.4

4. x=2, n=8, p=0.9

5. x=3, n=10, p=0.25

6. x=1, n=3, p=0.2

Answer 1

\[P(x=4)=.4^5\] for the first one

Answer 2

x=3, n=10, p=0.25
\[P(x=3)=\binom{10}{3}.25^3\times .75^7\]