Question

Find The probability of no failures in five trials of a binomial experiment in which the probability of success is 30%.

(Round to the nearest tenth of a percent)

Answer 1

Answer: 0.2

Explanation:

Answer 2

If the probability of success is 30%, then p=0.3 and q=1-p=1-0.3=0.7.

The probability of no failures in five trials in binomial experiment is

`C_5^5 p^5q^(5-5)=C_5^5 (0.3)^5(0.7)^(5-5)=(0.3)^5=0.00243`.

In percent this is 0.00243·100%=0.243%=0.2% (rounded to the nearest tenth of a percent).

Answer: The probability of no failures in five trials is 0.2%.