Unit 4.3 Homework

Front

What is the probability of rolling doubles when rolling two dice?

Back

1/6 or approximately 16.67%.

Front

If a quarterback has a passing percentage of 70%, what is the probability that he does NOT complete 8 of his 20 passes?

Back

11.44%.

Front

In a survey, 25% of pet owners had their pets bathed professionally. What is the probability that exactly 5 out of 18 pet owners have their pets bathed professionally?

Back

0.199.

Front

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

Back

Probability of Failures.

Front

If you flip a coin 20 times, what is the probability of getting at least 13 heads?

Back

13.16%.

Front

Define binomial probability.

Back

The probability of obtaining a fixed number of successes in a fixed number of independent Bernoulli trials.

Front

What are the parameters of a binomial distribution?

Back

Number of trials (n) and probability of success (p).

Front

What is the formula for calculating binomial probability?

Back

P(X=k) = (n choose k) * p^k * (1-p)^(n-k).

Front

What does 'n choose k' represent in the binomial formula?

Back

The number of ways to choose k successes in n trials.

Front

What is the expected value in a binomial distribution?

Back

E(X) = n * p.