Question

Based on a survey assume that 36% 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 two of them are comfortable with the delivery by drones. Identify the values of n,x,p, and q

Answer 1

n = 5

x = 2

p = 0.36

q = 0.64

Answer 2

0.3397

Explanation:

Based on a survey assume that 36% of consumers are comfortable having drones deliver their purchases. Then

• the probability that a consumer is comfortable with the delivery of the drones is
  `p=0.36;`
• the probability that a consumer is not comfortable with the delivery of the drones is
  `q=1-p=1-0.36=0.64.`

Suppose that we want to find the probability that when five consumers are randomly selected exactly two of them are comfortable with the delivery by drones.

Hence,

`n=5\\ \\x=2`

and the probability is

`C^5_2p^2q^(5-2)=(5!)/(2!(5-2)!)(0.36)^2(0.64)^3=10\cdot (0.36)^2(0.64)^3\approx 0.3397`