Probability Discrete and Continuous Random Variables

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. Approximately what percent of the days in February would be between 24 and 30 degrees?

• 35.8%
• 68.2%
• 0%
• 50%

Find the area under the standard normal curve where z < 2.42 .

• .008
• .992
• .301
• .862

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? (You need to figure out the p value first. It is not given to you.)

• 96.2%
• 13.2%
• 8.31%
• 25.0

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 

Which of the following is an example of a discrete random variable?

• The number of students who visit the Health Center
• The number of MBA applicants
• The number of guests in a basketball game
• All of the above.

Determine whether the random variable x is discrete or continuous: The number of pumps in use at a gas station.

• Discrete

• Continuous

Determine whether the random variable x is discrete or continuous: the weight of a truck at a weigh station.

• Discrete

• Continuous

Determine whether the experiment is a binomial experiment. If so, identify a success, and the values of n, p, and q.

Bags of milk chocolate M&M's contain 24% blue candies. One candy is selected each of 12 bags. The random variable represents the number of blue candies.

• Yes, it is a binomial experiment. Success: a blue candy is selected

  n = 12 p = 0.24 q = 0.76

• Yes, it is a binomial experiment. Success: a candy is selected

  n = 12 p = 0.24 q = 0.76

• Yes, it is a binomial experiment. Success: a blue candy is selected

  n = 12 p = 0.25 q = 0.75

• No

Solve for the indicated binomial probability. Round to the nearest thousandth.

about 30% of U.S. adults are trying to lose weight. You randomly select 8 U.S. adults. Find the probability that the number of U.S. adults who say they are trying to lose weight is at least three.

• 0.591

• 0.446

• 0.448

• 0.278

On an eight question multiple choice quiz with 4 answers for each question, what is the probability of guessing and getting 6 correct answers?

• .004
• .109
• .003
• .9996