Binomial Distribution Stats

State two conditions for a situation to be modelled by a binomial distribution

• Independent trials and has fixed probabilities

• Dependent trials and has fixed probabilities

• Independent trials and has not fixed probabilities

• Dependent trials and has not fixed probabilities

Select all that apply.

Which of the following can be found using the Binomial Distribution?

• The probability that 3 out of 8 tosses of a coin will result in heads

• The probability that Susan will beat Shannon in two of their three tennis matches

• The probability of rolling at least two 3's and two 4's out of twelve rolls of a die

• The probability of getting a full house poker hand

• The probability that all 5 of your randomly-chosen group members will have passed the midterm

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

Which of the following is false about binomial probabilities?

• Their distributions are approximately symmetric.
• Trials must be fixed.
• Events musts be independent.
• The probability of success must be 0.50

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 independent.
• No, there are more than 2 outcomes

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

• Number of trials
• Number of Successes
• Probability of Successes
• Probability of Failures

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

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

• Number of trials

• Number of Successes

• Probability of Successes

• Probability of Failures

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

Which descriptions are true for a binomial distribution?

• the probability of success must be the same for each event

• the probability for each event must be 0.5

• there can be only two possible outcomes

• The probabilities must add to 1

• each trial must be independent

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

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? (You need to figure out the p value first. It is not given to you.)

• 0.962
• 0.132
• 0.831
• 0.250

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

A test consists of 10 multiple choice questions with five choices for each question.  As an experiment, you GUESS on each and every answer without even reading the questions. 
What is the probability of getting exactly 6 questions correct on this test?

• 0.6%
• 0.00001%
• 0.0064%
• 0.0002%

If you flip one coin and then roll a dice, how many possible outcomes can you get?

• 6
• 12
• 7
• 0