Statistics Midterm Review

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

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.

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

The owner of a small convenience store is trying to decide whether to discontinue selling magazines. He suspects that only 5% of the customers buy a magazine and thinks that he might be able to use the display space to sell something more profitable. What is the probability that at least 5 of his first 50 customers buy magazines?

• 0.104
• 0.896
• 0.066
• 0.774

Determine whether the random variable is discrete or continuous.
The number of students on the Shawnee Heights Honor Roll..

• Discrete
• Continuous

What is the probability that a family doesn't have a baby girl until their third child?

• 0.13
• 0.15
• 0.05
• 0.88

If Mobius draws 7 cards out of a deck with replacement, what is the probability that he gets the first heart in 6 attempts or fewer?

• 0.18
• 0.82
• 0.06
• 0.76

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. How many blood donors should the American Red Cross expect to collect from until it gets a donor with Type B blood? 

• 9.1 donors
• 8.5 donors
• 10.3 donors
• Cannot be determined.

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 the tenth blood donor is the first donor with Type B blood?

• approximately 0.00
• 0.316
• 0.0385 
• 0.279

The events, black card and red card are an example of __________ because together they represent the entire sample space.

• independent events
• complementary events
• binomial distribution
• geometric distribution