Question

based on a survey, assume that 20% of consumers are comfortable having drones deliver their purchases. suppose that we want to find the probability that when six consumers are randomly selected, exactly four 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 number of trials

The number of consumers selected is the number of trials. Here, 6 consumers are randomly selected, so $n = 6$.

Step2: Identify the number of successes

The number of consumers comfortable with drone - delivery is the number of successes. We want exactly 4 of them to be comfortable, so $x = 4$.

Step3: Identify the probability of success on a single trial

The proportion of consumers comfortable with drone - delivery is the probability of success on a single trial. Given that 20% of consumers are comfortable, so $p=0.2$.

Step4: Identify the probability of failure on a single trial

The probability of failure $q$ is given by $q = 1 - p$. Since $p = 0.2$, then $q=1 - 0.2=0.8$.

Answer:

$n = 6$
$x = 4$
$p = 0.2$
$q = 0.8$