Expected Value & 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

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

• Number of trials

• Number of Successes

• Probability of Successes

• Probability of Failures

Is this a 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 independent.

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

Does the distribution represent a probability FUNCTION?

• Yes, All P(x) values are between 0 and 1, and ∑P(x) = 1

• Yes, because the probabilities of each outcome are all 1/6.

• No, because there are more than two outcomes.

• No, because the probabilities of each outcome are all 1/6.

Is the distribution below a probability FUNCTION? Why or why not?

• Yes. All P(x) values are between 0 and 1, and ∑P(x) = 1

• No, not all P(x) values are between 0 and 1.

• No, ∑P(x) ≠ 1.

Is this a probability function?

• No

• Yes

If the expected value of a carnival game is negative, are you expected to win?

• yes

• no

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

CCSS.HSS.MD.B.5