Question

Find the probability of having 2, 3, or 4

successes in five trials of a binomial
experiment in which the probability of
success is 40%.
p = [?] %
Round to the nearest tenth of a percent.

Answer 1

16% for 2 successes, 6.4% for 3 successes, 2.6% for 4 successes, and 1% for 5 successes

Explanation:

Since the success rate of a binomial experiment is 40%, converted to 0.4, you get the equation of f(x) = (0.4)^x, for where x is the amount of successful experiments

For the success of 2 experiments:

f(2) = (0.4)^2

=0.16 => 16%

For the success of 3 experiments:

f(3) = (0.4)^3

= 0.064 => 6.4%

For the success of 4 experiments:

f(4) = (0.4)^4

= 0.0256 => 2.56% => ~2.6

For the success of 5 experiments:

f(5) = (0.4)^5

= 0.01024 => 1.024% => ~1%

Your welcome and comment if you have any questions :)