Can you use probability models based on Bernoulli trials to investigate me follo

Question

Can you use probability models based on Bernoulli trials to investigate me following situation? Explain A manufacturer recalls a doll because about 5% have buttons that are not properly attached. Customers return 43 of those dolls. Is the manufacturer likely to find any dangerous buttons? Choose the correct answer below A. No, because the trials are not independent. B. Yes, because these trials may be considered Bernoulli trials since the sample is less than 10% of the population. C. No, because the probability of a success is not the same for every trial. D. No, because these trials are not independent since the sample is less than 10% of the population.

Explanation / Answer

ans) C) No, because the probability of sucess is not same for every trial.

Since probability of finding any defective button is 0.05 which is not same for every doll since the chance of having a defective button in a doll is dependent of having a defective button in other dolls as almost 5% of the lot are defective.

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