Question

In: Statistics and Probability

Suppose that during a given week, 30 new customers have signed up for a specialized service...

Suppose that during a given week, 30 new customers have signed up for a specialized service your company provides. 10 of these new customers are automotive companies, and the remaining 20 are financial services firms. If a random sample of 10 of these new customers will be selected for a study of customer satisfaction in one month, what is the probability that fewer than five of the selected customers are financial services firms?

0.3148

0.3241

0.1688

0.4512

0.7621

Expert Solution

Answer:-

Given that:-

Suppose that during a given week, 30 new customers have signed up for a specialized service your company provides. 10 of these new customers are automotive companies, and the remaining 20 are financial services firms. If a random sample of 10 of these new customers will be selected for a study of customer satisfaction in one month, what is the probability that fewer than five of the selected customers are financial services firms?

toatl =30

Automtive = 10

Financial = 20 sample = 10

To find probability (out of '10',fewer than '5' are from financial services)

Case:I '0' - financial

'10' Auto

Case:II '1' -Financial

'9' Auto

Case:III : '2' - financial

'8' -Auto

Case :IV '3'- Financial

'7' -Auto

Case:V '4' - Financial

'6' - Auto

Case:VI '5'-Financial

'5' -Auto

So, P(out of 10, Financial<5)

or

so, option D is correct

orchestra answered 2 years ago

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