Probability and Statistics Applications MCQ Test: Probability and Statistics Applications MCQs - Practice Questions
1. If the mean of a dataset is 60 and the z-score of a data point is -3, what is the value of the data point?
2. A standard six-sided die is rolled twice. What is the probability of getting two sixes?
3. If the probability of drawing a spade from a deck of cards is 1/4, how many spades are in the deck?
4. In a survey, 60% of respondents prefer option A, 20% prefer option B, and the rest prefer option C. What is the probability that a randomly selected respondent prefers option C?
5. A bag contains 8 red, 5 blue, and 4 green balls. If three balls are drawn with replacement, what is the probability of getting exactly two red balls?
6. In a set of data, the range is 15, and there are 5 data points. What is the difference between the maximum and minimum values?
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 probability of drawing a heart from a deck of cards is 1/4, how many hearts are in the deck?
9. If a six-sided die is rolled, what is the probability of rolling a 3?
10. 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?
11. If the variance of a dataset is 25 and there are 5 data points, what is the standard deviation?
12. If the probability of an event is 0.7, what is the probability of the complementary event?
13. The height of a group of students follows a normal distribution with a mean of 160 cm and a standard deviation of 10 cm. What percentage of students have a height between 150 cm and 170 cm?
14. 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?
15. If a bag contains 10 red and 5 blue marbles, what is the probability of drawing a red marble followed by a blue marble without replacement?
16. The average score of a class in a math test is 75. If the standard deviation is 5, what is the z-score of a student who scored 80?
17. A deck of cards is shuffled. What is the probability of drawing an ace or a king?
18. If the probability of event A is 0.4 and the probability of event B is 0.3, what is the probability of both events A and B occurring?
19. In a survey, 25% of respondents preferred option A, 30% preferred option B, and the rest preferred option C. What is the probability that a randomly selected respondent did not choose option C?
20. If the probability of event A is 0.6 and the probability of event B is 0.7, what is the probability of either event A or event B occurring?
21. A bag contains 4 red, 3 blue, and 5 green marbles. If two marbles are drawn without replacement, what is the probability of getting two green marbles?
22. 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?
23. If the mean of a dataset is 50 and the z-score of a data point is -2, what is the value of the data point?
24. If a fair six-sided die is rolled five times, what is the probability of getting exactly one 6?
25. If the probability of rolling a 4 on a fair six-sided die is 1/6, what is the odds against rolling a 4?
26. If the mode of a dataset is 8, and there are 6 data points, what is the frequency of the mode?
27. A bag contains 6 red, 4 blue, and 3 green balls. If two balls are drawn without replacement, what is the probability of getting one red and one blue ball?
28. In a factory, the probability of a machine producing a defective item is 0.1. If 20 items are produced, what is the probability that at least 2 items are defective?
29. If the median of a dataset is 10, and there are 7 data points, what is the value of the fourth data point?
30. A coin is flipped four times. What is the probability of getting at least three heads?