6.2 Binomial Distribution

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.

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

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

Tags

CCSS.HSS.CP.B.9

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school. What is the probability that at least 2 of the first 10 blood donors has Type B blood? 

• 0.088
• 0.697
• 0.214
• 0.303 

Tags

CCSS.HSF-LE.A.1C

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?

• $C\left(100,\ 70\right)\cdot\left(0.18\right)^{30}\cdot\left(0.90\right)^{70}$
  

• $C\left(100,\ 70\right)\cdot\left(0.10\right)^{30}\cdot\left(0.90\right)^{60}$

• $C\left(100,\ 70\right)\cdot\left(0.10\right)^{30}\cdot\left(0.90\right)^{70}$

• $C\left(99,\ 70\right)\cdot\left(0.10\right)^{30}\cdot\left(0.90\right)^{70}$

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let X = the number of aces you observe.

• Yes
• No, the trials are not independent.
• No, there are more than 2 outcomes

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

Which one of these variables is a binomial random variable?

• Time it takes a randomly selected student to complete a multiple choice exam
• Number of textbooks a randomly selected student bought this term 
• Number of women taller than 68 inches in a random sample of 5 women
• Number of CDs a randomly selected person owns

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

A test has 8 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 8 questions, what is the probability that you get at least 3 questions correct?

• 0.886

• 0.332

• 0.678

• 0.208

Tags

CCSS.HSS.CP.B.7

CCSS.HSS.CP.B.9

Binomial or Not Binomial?

Rolling a dice ten times and recording the number shown each time

• Binomial

• Not Binomial

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3

Binomial or Not Binomial?

Rolling a dice ten times and recording how many threes are rolled

• Binomial

• Not Binomial

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.MD.A.1

CCSS.HSS.MD.A.3