3.3 Binomial Probability HW

Front

What are the assumptions of the Binomial distribution?

Back

1. All trials must be independent. 2. Each trial must be classified as a success or a failure. 3. The number of trials is fixed. 4. The probability of success is constant across trials.

Front

Which of the following is NOT an assumption of the Binomial distribution?

Back

All trials are dependent on each other.

Front

What is the formula for calculating binomial probability?

Back

P(X = k) = (n choose k) * (p^k) * ((1-p)^(n-k)) where n = number of trials, k = number of successes, p = probability of success.

Front

What does the 'p' represent in the binomial probability formula?

Back

Probability of Successes.

Front

What does the 'n' represent in the binomial probability formula?

Back

Number of trials.

Front

What does the 'x' represent in the binomial probability formula?

Back

Number of Successes.

Front

If Barry Bonds has a batting average of .298, what is the probability he will get on base 6 times in 10 at bats?

Back

3.58%.

Front

If n=20 and (1-p)=0.6, what is the probability of 12 successes?

Back

3.55%.

Front

What is the meaning of 'independent trials' in the context of Binomial distribution?

Back

The outcome of one trial does not affect the outcome of another trial.

Front

What is a 'success' in the context of Binomial probability?

Back

A defined outcome that is of interest in a trial.