Question

based on a survey, assume that 27% of consumers are comfortable having drones deliver their purchases. suppose that we want to find the probability that when four consumers are randomly selected, exactly two of them are comfortable with delivery by drones. identify the values of n, x, p, and q.
the value of n is
(type an integer or a decimal. do not round.)

Explanation:

Step1: Identify the binomial parameters

In a binomial distribution \(X\sim B(n,p)\), \(n\) is the number of trials, \(x\) is the number of successes, \(p\) is the probability of success in a single trial, and \(q = 1 - p\) is the probability of failure in a single trial.
Here, the number of consumers surveyed \(n=4\) (since we are looking at the case when 4 consumers are randomly selected), the number of “successes” (consumers comfortable with drone delivery) \(x = 2\), the probability that a consumer is comfortable with drone delivery \(p=0.27\), and the probability that a consumer is not comfortable with drone delivery \(q=1 - 0.27=0.73\).

Answer:

\(n = 4\)