Question

find the probability of exactly three successes in eight trials of a binomial experiment in which the probability of success is 45%.
enter q, or the probability of failure, as a decimal.
q = ?

Explanation:

Step1: Recall the relationship between success and failure probabilities

In a binomial experiment, \(p + q=1\), where \(p\) is the probability of success and \(q\) is the probability of failure.

Step2: Substitute the given value of \(p\)

Given \(p = 0.45\) (since \(45\%=0.45\)), then \(q=1 - p\).

$$q = 1-0.45$$

Step3: Calculate \(q\)

$$q=0.55$$

Answer:

\(0.55\)