Can you use probability models based on Bernoulli trials to investigate the foll

Question

Can you use probability models based on Bernoulli trials to investigate the following situation? Explain.

Upper A firm realizes that about 15 % of its packages are not being sealed properly. In aA firm realizes that about 15% of its packages are not being sealed properly. In a

case of 50, is it likely that of 50, is it likely that

more than 4 are unsealed question? more than 4 are unsealed?

Choose the correct answer below.

A. Yes comma because these trials may be considered Bernoulli trials since the sample isYes, because these trials may be considered Bernoulli trials since the sample is

less than 10 % of the population.less than 10% of the population.

B. No comma because the probability of a success is not the same for every trial.No, because the probability of a success is not the same for every trial.

C. No comma because these trials are not independent since the sample is less than 10 %No, because these trials are not independent since the sample is less than 10%

of the population.of the population.

D. No comma because the trials are not independent.No, because the trials are not independent.

Explanation / Answer

These may be considered Bernoulli trials. There are only two possible outcomes, sealed properly and not sealed properly. The probability that a package is unsealed is constant, at about 15%, as long as the packages checked are a representative sample of all packages. Finally, the trials are not independent, since the total number of packages is finite, but the 50 packages checked probably represent less than 15% of the packages

A option

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