Question

Based on a survey, assume that 28% 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. 28

Answer 1

Question:

Based on a survey, assume that 28% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly selected, exactly three of them are comfortable with delivery by drones.

Identify the values of n, x, p, and q.

Answer:

$n = 5$

$x = 3$

$p = 0.28$

$q = 0.72$

Step-by-step explanation:

Given

Proportion of customers that prefer drone = 28%

Selected customers= 5

Customers expected to prefer drone = 3

Required

Determine the value of n, x, p and q

In probability; n represents the selected sample;

So;

$n = 5$

The expected number of people to prefer drone is represented by x;

So;

$x = 3$

In probability, opposite probabilities add up to 1

i.e.

$p + q = 1$

Where p is the given probability;

$p = 28\%$

Convert to decimal

$p = 0.28$

Substitute 0,28 for p in the above equation

$p + q = 1$ becomes

$0.28 + q = 1$

Make q the subject of formula

$q = 1 - 0.28$

$q = 0.72$