Question

Consider a binomial experiment with n = 4 trials where the probability of success on a single trial is p = 0.35. Find P(r ≥ 1) by using the complement rule.

Answer 1

82.2 %

Step-by-step explanation :

First calculate the normal probability to find the complement.

If the probability of success in a single test is 0.35, then the probability of failure in a single test is 1 - 0.35 = 0.65.

Since there are 4 independent tests and events, the probability that there will be 0 successes of the 4 attempts, is calculated by multiplying it by 4 times, or (0.65) ^ 4 = 0.178.

Not having zero successes, then we automatically know that there must have been at least 1 successful result.

Therefore, if the probability of having 0 successes is 0.178, then the probability of having at least 1 is 1 - 0.178 = 0.822

sería 82.2 % la probabilidad