Answer: 0.0898
Step-by-step explanation:
Probability = [tex]\dfrac{favorable\ outcomes}{Total\ outcomes}[/tex]
Given : Sample size : 528
Number pf customers say they are happy = 237
Probability of getting one happy customer= [tex]\dfrac{237}{528}[/tex]
Probability of getting second happy customer= [tex]\dfrac{236}{527}[/tex] [subtract 1 from both numbers]
Probability of getting third happy customer= [tex]\dfrac{235}{526}[/tex]
If 3 customers are elected without replacement
The probability they will all say they are happy with the service = [tex]\dfrac{237}{528}\times\dfrac{236}{527}\times\dfrac{235}{526}[/tex]
[tex]\approx0.0898[/tex]
Hence, the required probability = 0.0898
