Binomial Experiments and Normal Distribution

The video tutorial covers the normal approximation of the binomial distribution, explaining Bernoulli trials and their properties. It demonstrates how to calculate probabilities in binomial experiments and introduces the use of normal distribution and z-scores for approximation. The tutorial also explains converting discrete values to continuous for normal approximation and provides examples and applications. Finally, it outlines the criteria for using normal approximation in binomial distribution.

What is another term for a binomial experiment?

• Exponential trial

• Poisson trial

• Bernoulli trial

• Gaussian trial

In a binomial experiment, what does 'n' represent?

• Number of successes

• Probability of success

• Number of trials

• Probability of failure

How do you calculate the expected value in a binomial experiment?

• Number of trials divided by probability of success

• Number of trials times probability of success

• Probability of success minus probability of failure

• Number of successes times probability of failure

What is the purpose of using z-scores in normal distribution?

• To convert a normal distribution to a binomial distribution

• To find the mean of a data set

• To standardize a normal distribution

• To calculate the area under the curve

Why do we convert discrete values to continuous values in normal approximation?

• To decrease the probability of success

• To simplify calculations

• To match the assumptions of the normal distribution

• To increase the number of trials

In the example of flipping tails less than 20 times, what is the mean number of tails?

• 20

• 25

• 30

• 15

In the dice roll example, what is the probability of rolling a six in one roll?

• 1/4

• 1/6

• 1/3

• 1/2

What is the probability that a shipment is accepted if at least 90% of burgers contain 400 grams or more?

• 1.7%

• 90%

• 10%

• 50%

What are the criteria for using normal approximation in a binomial distribution?

• n times p < 5 and n times (1-p) < 5

• n times p = 5 and n times (1-p) = 5

• n times p > 10 and n times (1-p) > 10

• n times p > 5 and n times (1-p) > 5