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

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 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

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.7

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

When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice four times, hoping to roll doubles. What is the probability the player gets doubles more than twice in 4 attempts?

• 0.016

• 0.00077

• 0.132

• 0.004

Tags

CCSS.HSS.CP.B.9

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

• 50

• 4

• 20

• 10

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

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

Tags

CCSS.HSS.ID.A.2

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.1