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

Explanation:

Probability =
`(favorable\ outcomes)/(Total\ outcomes)`

Given : Sample size : 528

Number pf customers say they are happy = 237

Probability of getting one happy customer=
`(237)/(528)`

Probability of getting second happy customer=
`(236)/(527)` [subtract 1 from both numbers]

Probability of getting third happy customer=
`(235)/(526)`

If 3 customers are elected without replacement

The probability they will all say they are happy with the service =
`(237)/(528)*(236)/(527)*(235)/(526)`

`\approx0.0898`

Hence, the required probability = 0.0898