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

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.

Tags

CCSS.HSS.MD.A.1

CCSS.HSS.MD.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 exactly 2 of the first 20 blood donors have Type B blood? 

• 0.316
• 0.282
• 0.001
• Not here

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.HSS.CP.B.9

X is the number of heads when a fair coin is flipped 12 times

Find P(X ≤ 6)

• 0.23

• 0.61

• 0.39

• 0.5

Tags

CCSS.HSS.CP.B.9

CCSS.HSS.MD.A.3

If you were to flip a coin 20 times, what is the probability you would get exactly 10 heads?

• 50%
• 17.62%
• .58.81%
• 41.19%

Tags

CCSS.HSS.CP.B.9

A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 5 people have their pets bathed professionally

• 3.42
• 1.03
• 0.072
• 0.199

Tags

CCSS.HSS.CP.B.9

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.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?

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

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

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

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

Tags

CCSS.HSS.CP.B.9