EXAMINATION #2_MATH120_SPRING 2024

Barry Bonds has a career batting average of .298. What is the probability that he will get 6 hits in his next 10 at-bats?

• 3.58%

• 5.46%

• 22.67%

• 100%

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

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.

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?

• ₁₀₀C₇₀   ( 0.18  )³⁰ ( 0.90  )⁷⁰
  
• ₁₀₀C₇₀   ( 0.10  )³⁰ ( 0.90  )⁶⁰
• ₁₀₀C₇₀   ( 0.10  )³⁰ ( 0.90  )⁷⁰
• ₉₉C₇₀   ( 0.10  )³⁰ ( 0.90  )⁷⁰

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

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

A MATH120 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

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