Binomial Probability

Front

What does the q stand for in the binomial probability formula?

Back

Probability of Failures.

Front

What does the x stand for in the binomial probability formula?

Back

Number of Successes.

Front

What is the formula for binomial probability?

Back

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

Front

If you flip a coin 20 times, what is the probability of getting exactly 10 heads?

Back

P(X=10) = (20C10) * (0.5^10) * (0.5^10) = 0.176.

Front

What is the probability of getting at least 13 heads when flipping a coin 20 times?

Back

7.39%.

Front

When rolling a fair die 100 times, what is the probability of rolling a '4' exactly 25 times?

Back

1.0%.

Front

What is the probability of getting 6 hits in 10 at-bats if the batting average is .298?

Back

3.58%.

Front

Define 'n' in the context of binomial probability.

Back

n represents the number of trials.

Front

Define 'p' in the context of binomial probability.

Back

p represents the probability of success on a single trial.

Front

What is the relationship between p and q in binomial probability?

Back

q = 1 - p, where q is the probability of failure.