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A survey from Teenage Research Unlimited found that 30% of teenage consumers receive their spending money...

A survey from Teenage Research Unlimited found that 30% of teenage consumers receive their spending money from part-time jobs. If 10 teenagers are selected at random, find the a)probability that 4 of them will have part-time jobs. b)probability that at least 1 of them will have part-time jobs

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Answer #1

a)probability that 4 of them will have part-time jobs.

The population proportion of success is p = 0.3, also, 1 - p = 1 - 0.3 = 0.7, and the sample size is n= 10. We need to compute P[ X = 4 ]

P[ X = 4 ] = 0.2001

b)probability that at least 1 of them will have part-time jobs

P[ At least one has part time job ] = P[ X >= 1 ]

P[ X >= 1 ] = 1 - P[ X = 0 ]

The population proportion of success is p = 0.3, also, 1 - p = 1 - 0.3 = 0.7, and the sample size is n= 10. We need to compute P[ X = 0 ]

P[ X = 0 ] = 0.0282

P[ At least one has part time job ] = 1 - 0.0282

P[ At least one has part time job ] = 0.9718

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