Identify Binomial Experiments

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.

• The probability of a success is 50%.

• There is a fixed number of trials.

Determine whether the random variable is discrete or continuous.

The amount of time a student spends on this activity.

• Discrete

• Continuous

Is the distribution below a probability distribution? 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 binomial a experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 10 times. Let X = the number of aces you observe.

• Yes

• No, the trials are not independent.

• No, there are more than 2 outcomes

When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a player rolls the dice five times, hoping to roll doubles. Find the probability that the player gets doubles exactly twice in 5 attempts.

• 0.884

• 0.139

• 0.965

• 0.161

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

Bob is taking a 100 question test. They have a 90% probability of getting any one question correct. WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 70 questions correctly?

• ₁₀₀C₇₀ ( 0.18 )³⁰ ( 0.90 )⁷⁰

• ₁₀₀C₇₀ ( 0.10 )³⁰ ( 0.90 )⁶⁰

• ₁₀₀C₇₀ ( 0.10 )³⁰ ( 0.90 )⁷⁰

• ₉₉C₇₀ ( 0.10 )³⁰ ( 0.90 )⁷⁰

Find the mean of a binomial distribution with n=50 and p=0.4

• 50

• 4

• 20

• 10

Find the variance of a binomial distribution with 50 trials and p= 0.4

• 12

• 15

• 10

• 20

Find the standard deviation of a binomial distribution with n=50 and p=0.4 (Round to the nearest tenth)

• 4.2

• 3.5

• 12.0

• 6.2