Probability Practice Math 4

Front

What is the probability that at least 2 of the first 10 blood donors has Type B blood if 11% of the U.S. population has Type B blood?

Back

0.303

Front

Is shuffling a deck of 52 cards and turning over the top card without replacement a binomial experiment?

Back

No, there are more than 2 outcomes.

Front

Is shuffling a deck of 52 cards, turning over the top card, replacing it, and repeating the process 50 times a binomial experiment?

Back

Yes.

Front

What is the expected value of a random variable if the options are 4.5, 25.5, 3.825, 6.52?

Back

4.5

Front

Which option gives the greatest Return on Investment among Option I, Option II, Option III?

Back

Option II.

Front

Define a binomial experiment.

Back

A binomial experiment is a statistical experiment that has the following properties: a fixed number of trials, only two possible outcomes (success or failure), the trials are independent, and the probability of success is the same for each trial.

Front

What is the formula for calculating the probability of exactly k successes in a binomial experiment?

Back

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

Front

What does 'expected value' represent in probability?

Back

The expected value is the long-term average or mean value of a random variable, calculated as the sum of all possible values, each multiplied by its probability.

Front

What is the difference between independent and dependent events in probability?

Back

Independent events do not affect each other's outcomes, while dependent events do.

Front

What is the probability of getting at least one success in a binomial experiment?

Back

P(at least 1 success) = 1 - P(no successes) = 1 - (1-p)^n.