20.7. Normal Approximation to Binomial Distribution

Try these first

1. 1.

   What parameters define a binomial distribution?

   Hint

   Think about what characteristics uniquely define a binomial experiment.

2. 2.

   Define success probability in a binomial context.

   Hint

   Consider how likely a specific outcome is in your trials.

3. 3.

   What is the continuity correction?

   Hint

   It involves adjusting the values to reflect continuity.

4. 4.

   Given p = 0.4 in a binomial distribution, what is q?

   • 0.6
   • 0.4
   • 0.8

   Hint

   Think about the total probability adding up to 1.

5. 5.

   You have a football team with 60% winning chances. If they play 50 matches, what is the probability that they win more than 30 matches?

   Hint

   Remember to apply continuity correction while calculating probabilities.

6. 6.

   A factory produces light bulbs, with a 2% rate of defects. What is the probability of getting at least 3 defective bulbs in a batch of 200?

   Hint

   Consider using complimentary probabilities for calculations.