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based on a survey, assume that 33% of consumers are comfortable having …

Question

based on a survey, assume that 33% 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 number of trials

The number of consumers selected is the number of trials. Here, 4 consumers are selected, so $n = 4$.

Step2: Identify the number of successes

The number of consumers comfortable with drone - delivery is the number of successes. We want exactly 2 consumers to be comfortable, so $x=2$.

Step3: Identify the probability of success

The probability that a single consumer is comfortable with drone - delivery is given as 33% or 0.33, so $p = 0.33$.

Step4: Identify the probability of failure

The probability of failure $q$ is $q=1 - p$. So $q = 1-0.33=0.67$.

Answer:

$n = 4$, $x = 2$, $p = 0.33$, $q = 0.67$