Based on a survey, assume that 38% of consumers are comfortable having drones deliver their purchases. Suppose we want to find the probability that when four consumers are randomly selected, exactly two of them are comfortable with the drones. What is wrong with using the multiplication rule to find the probability of getting two consumers comfortable with drones followed by two consumers not comfortable, as in this calculation: (0.38 )(0.38 )(0.62 )(0.62 )equals0.0555?

What is wrong is that the combinations were not used. It has to be used because of the different ordering that the customers may be chosen. The correct answer is 0.333

Step-by-step explanation:

For each custoer, there are only two possible outcomes. Either they are confortable with drones delivering their purchases, or they are not. Customers are independent. So the binomial distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

38% of consumers are comfortable having drones deliver their purchases.

This means that

Four consumers are randomly selected

This means that

Probability that exactly two of them are comfortable with the drones

What is wrong is that the combinations were not used. It has to be used because of the different ordering that the customers may be chosen.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

answer: the answer is e

step-by-step explanation: