Binomial and Geometric Probability

Front

What is the probability of at least 2 out of 10 blood donors having Type B blood if 11% of the population has Type B blood?

Back

0.303

Front

Is the following a binomial experiment? Shuffle a deck of 52 cards, turn over the top card, put it back, shuffle, and repeat 50 times. Let X = the number of aces observed.

Back

Yes

Front

What is the probability that the tenth blood donor is the first donor with Type B blood if 11% of the population has Type B blood?

Back

0.0385

Front

True or False: The binomial distribution is used to calculate the probability of rolling a 6 for the first time on the 6th roll of a die.

Back

False

Front

What is the probability of getting exactly 6 questions correct on a 10-question multiple choice test with 5 choices per question if you guess on all?

Back

0.551%

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 two conditions for a binomial experiment?

Back

1. There are a fixed number of trials. 2. Each trial has two possible outcomes (success or failure).

Front

What is the formula for calculating 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

What is geometric probability?

Back

The probability of the first success occurring on the k-th trial in a sequence of independent Bernoulli trials.

Front

What is the formula for geometric probability?

Back

P(X=k) = (1-p)^(k-1) * p, where p is the probability of success.