Binomial Distributions

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.HSF-LE.A.1C

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

4. 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.HSF-LE.A.1C

An algebra 2 test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get at least 1 question correct?

• 0.2373
• 0.3955
• 0.7627
• 0.6045

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.B.7

When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice five times, hoping to roll doubles. What is the probability the player gets doubles less than three times in 5 attempts?

• 0.161
• 0.965
• 0.015
• 0.997

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.CP.B.9

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.CP.A.2

CCSS.HSS.CP.A.3

You trick Mrs. Mack into playing for the juniors in the Powder Puff football game. As a quarterback, she typically completes 3% of her passes. If she makes 25 passes in the game, what is the probability that she will complete at least 3?

• 0.04
• 0.96
• 0.01
• 0.99

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.CP.B.9

It has been estimated that about 30% of frozen chicken contain enough salmonella bacteria to cause illness if improperly cooked. A consumer purchases 12 frozen chickens. What is the probability that the consumer will have more than 6 contaminated chickens? 

• .961
• .118
• .882
• .039

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.CP.B.9

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

X ~ B(15, 0.6)

Find P(X ≤ 12)

• 0.06

• 0.97

• 0.03

• 0.09

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.1