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.MD.A.3

CCSS.HSS.MD.A.4

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

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

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

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

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.B.6

CCSS.HSS.MD.B.7

8. 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

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

• 6
• 12
• 7
• 0

A.  If you were to flip a coin 20 times, what is the probability you would get at least 13 heads?

• .9423
• .1316
• .0577
• .0739

Tags

CCSS.HSS.MD.A.2

The probability of getting a bad orange from a box is 0.2. Christina has chosen 6 oranges. Calculate the probability that

(a) only one orange is bad.

(b) all the oranges are good.

• (a) 0.3351 (b) 0.2731

• (a) 0.4051 (b) 0.2831

• (a) 0.3932; (b) 0.2621

• (a) 0.4351 (b) 0.2731