Question

Based on a​ survey, assume that ​48% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when consumers are randomly​ selected, exactly of them are comfortable with delivery by drones. Identify the values of​ n, x,​ p, and q. The value of n is ______.

Answer 1

Answer:

The value of n is the size of the sample, the number of customers selected.

The value of p is 0.48.

The value of q is 0.52.

Step-by-step explanation:

Binomial probability distribution

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

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

48% of consumers are comfortable having drones deliver their purchases.

This means that $p = 0.48, q = 1 - p = 1 - 0.48 = 0.52$

The value of n is the size of the sample, the number of customers selected.