Does-the-given-procedure-result-in-a-binomial-distribution-assignment-help-

Does-the-given-procedure-result-in-a-binomial-distribution-assignment-help-

1Does the given procedure result in a binomial distribution?

Procedure: Surveying 100 people to determine if they like Sudsy Soap.

  • Yes.
  • No, because there are more than two outcomes.
  • No, because consecutive trials are not independent.
  • No, because the probability of success/failure changes between trials.

2. Does the given procedure result in a binomial distribution?

Procedure: There are two jars, one contains 100 red balls and 90 blue balls, the other 100 blue and 90 red balls. You draw a ball from the first jar 10 times in a row, with replacement and then 10 times from the second one, also with replacement.. You record whether you drew a red ball.

  • Yes.
  • No, because there are more than two outcomes.
  • No, because consecutive trials are not independent.
  • No, because the probability of success/failure changes between trials.

3. Does the given procedure result in a binomial distribution?

Procedure: Surveying 300 prisoners to see whether this is their first offense.

Yes.

No, because there are more than two outcomes.

No, because consecutive trials are not independent.

No, because the probability of success/failure changes between trials.

4. Does the given procedure result in a binomial distribution?

Procedure: Asking 100 people which brand of cigarettes they smoke.

Yes.

No, because there are more than two outcomes.

No, because consecutive trials are not independent.

No, because the probability of success/failure changes between trials.

5. A burglar alarm system has six fail-safe components. The probability of each failing is 0.05. Find the probability that exactly three will fail. Round to the nearest thousandth.

6. A burglar alarm system has six fail-safe components. The probability of each failing is 0.05. Find the probability that none will fail. Round to the nearest thousandth.

7. It is reported that 77% of workers aged 16 and over drive to work alone. Choose 8 workers at random. Find the probability that all drive to work alone. Round your answer to the nearest thousandths.

8. It is reported that 77% of workers aged 16 and over drive to work alone. Choose 8 workers at random. Find the probability that exactly 3 drive to work alone. Round your answer to the nearest thousandths.

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