Expected Value and 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 r 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.

Data was compiled and the number of goals for a hockey team per game and the corresponding probabilities are given below. If this hockey team plays an 82-game season, what is the expected cumulative goal total for the next season?

• 220

• 239

• 261

• 309

• 320

Ten percent of all Dynamite Mints candies are orange and 45 percent of all Holiday Mints candies are orange. Two independent random samples, each of size 25, are selected - one from Dynamite Mints and the other from Holiday Mints. The total number of orange candies in the two samples is observed. What are the expected total number of orange candies and the standard deviation for the total number of orange candies, respectively, in the two samples?

• 7 and 2.905

• 7 and 3.987

• 13.75 and 2.233

• 13.75 and 2.905

• 13.75 and 3.987

Find the mean (expected value) of the probability distribution.

• 85

• 83.2

• 87.1

• 84.4

Data was compiled and the number of goals for a hockey team per game and the corresponding probabilities are given below. If this hockey team plays an 82-game season, what is the expected cumulative goal total for the next season?

• 220

• 239

• 261

• 309

• 320

If the expected value is negative, are you expected to win?

• yes

• no

Answer explanation

If the result is negative you will expect to lose money.

Find the expected value. READ CAREFULLY!

• 4.5

• 25.5

• 3.825

• 6.52