Question

In a sample of 528 customers, 237 say they are happy with the service. If you select three customers without replacement for a commercial, what is the probability they will all say they are happy with the service

Answer 1

Answer: 0.0898

Step-by-step explanation:

Probability = $\dfrac{favorable\ outcomes}{Total\ outcomes}$

Given : Sample size : 528

Number pf customers say they are happy = 237

Probability of getting one happy customer= $\dfrac{237}{528}$

Probability of getting second happy customer= $\dfrac{236}{527}$  [subtract 1 from both numbers]

Probability of getting third happy customer= $\dfrac{235}{526}$  

If 3 customers are elected without replacement

The probability they will all say they are happy with the service  = $\dfrac{237}{528}\times\dfrac{236}{527}\times\dfrac{235}{526}$  

$\approx0.0898$

Hence, the required probability = 0.0898