Probability and Statistics Applications MCQ Test: Probability and Statistics Applications MCQs - Practice Questions
1. The average time taken to complete a task is 30 minutes with a standard deviation of 5 minutes. What is the probability that a randomly selected task takes more than 35 minutes to complete?
2. A bag contains 5 red, 4 blue, and 6 green marbles. If two marbles are drawn without replacement, what is the probability of getting two blue marbles?
3. A deck of cards is shuffled. What is the probability of drawing a face card (king, queen, or jack)?
4. If the variance of a dataset is 25 and there are 5 data points, what is the standard deviation?
5. In a deck of cards, what is the probability of drawing an ace or a king?
6. A manufacturing process produces bolts with a mean length of 20 cm and a standard deviation of 2 cm. If the lengths follow a normal distribution, what percentage of bolts have a length less than 18 cm?
7. The IQ scores of a population follow a normal distribution with a mean of 100 and a standard deviation of 15. What percentage of the population has an IQ score above 130?
8. If the median of a dataset is 12 and the range is 18, what is the minimum value in the dataset?
9. If the correlation coefficient between two variables is 0.9, what does this indicate about the relationship between the variables?
10. If the probability of event A is 0.3 and the probability of event B is 0.5, what is the probability of either event A or event B occurring?
11. The average weight of a group of students is 150 pounds with a standard deviation of 20 pounds. If the data follows a normal distribution, what percentage of students weigh more than 170 pounds?
12. If the probability of event A is 0.5 and the probability of event B is 0.3, what is the probability of both events A and B not occurring?
13. In a deck of cards, what is the probability of drawing a heart?
14. If the probability of rolling a 4 on a fair six-sided die is 1/6, what is the odds against rolling a 4?
15. A group of students took a test, and the scores are normally distributed with a mean of 75 and a standard deviation of 10. What percentage of students scored below 65?
16. If a bag contains 8 red, 4 blue, and 2 green balls, what is the probability of drawing a green ball?
17. A coin is flipped four times. What is the probability of getting at least three heads?
18. A fair six-sided die is rolled. What is the probability of rolling a 5 or a 6?
19. The heights of a group of students follow a normal distribution with a mean of 170 cm and a standard deviation of 8 cm. What percentage of students have a height above 180 cm?
20. A coin is tossed. What is the probability of getting heads?