Binomial Probabilities

Which of the following is false about binomial probabilities?

• Each trial results in success or failure.

• Trials are all identical.

• Trials are independent.

• The probability of success must be 0.50

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

• Number of trials

• Number of Successes

• Probability of Successes

• Probability of Failures

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let X = the card you observe.

• Yes

• No, the trials are not identical.

Identify whether the experiment involves a discrete or a continuous random variable.

tossing a pair of fair coins

• Discrete Random Variable

• Continuous Random Variable

Identify whether the experiment involves a discrete or a continuous random variable.

Comparing the weights of our dogs

• Discrete Random Variable

• Continuous Random Variable

What is the area of the given probability distribution?

• 1

• 1/6

• 100

• 100%

Given the probability model in the table below, what is the expected (mean) value of the random variable?

X 50 20 5

P(X) 0.1 0.3 0.6

• 14

• 4.67

• 5

• 7.5

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct?

• 0.962

• 0.132

• 0.831

• 0.250

The table represents the probability of guessing correct on a 5 question true-false quiz.  Find the probability for at least 4 questions correct.

• .03125
• .15625
• .3125
• .1875

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

• All trials must be independent.
• Each trial must be classified as a success or a failure.
• All trials are dependent on each other.
• The number of successes in the trials is counted.