Probability and Statistics Applications MCQ Test: Probability and Statistics Applications MCQs - Practice Questions
1. 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?
2. If the mean of a dataset is 15 and there are 5 data points, what is the sum of the data points?
3. 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?
4. A coin is flipped four times. What is the probability of getting at least three heads?
5. If the probability of an event is 0.7, what is the probability of the complementary event?
6. 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?
7. A standard six-sided die is rolled twice. What is the probability of getting two sixes?
8. If a six-sided die is rolled, what is the probability of rolling a 3?
9. If the interquartile range of a dataset is 12, and the first quartile is 25, what is the third quartile?
10. 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?
11. 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?
12. 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?
13. A deck of cards is shuffled. What is the probability of drawing an ace or a king?
14. In a survey, 40% of respondents chose option A, 30% chose option B, and the rest chose option C. What is the probability that a randomly selected respondent chose option C?
15. 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?
16. If the median of a dataset is 10, and there are 7 data points, what is the value of the fourth data point?
17. 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?
18. 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?
19. 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?
20. If the probability of drawing a spade from a deck of cards is 1/4, how many spades are in the deck?
21. A six-sided die is rolled. What is the probability of rolling an even number?
22. The heights of a group of adults follow a normal distribution with a mean of 175 cm and a standard deviation of 10 cm. What percentage of adults have a height between 160 cm and 190 cm?
23. 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?
24. If the correlation coefficient between two variables is -0.8, what does this indicate about the relationship between the variables?
25. In a bag of colored marbles, there are 5 red, 3 blue, and 2 green marbles. What is the probability of drawing a blue marble?
26. If the probability of drawing a heart from a deck of cards is 1/4, how many hearts are in the deck?
27. If the mode of a dataset is 8, and there are 6 data points, what is the frequency of the mode?
28. 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?
29. If a bag contains 8 red, 4 blue, and 2 green balls, what is the probability of drawing a green ball?
30. If the median of a dataset is 12 and the range is 18, what is the minimum value in the dataset?
31. 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?
32. A deck of cards is shuffled. What is the probability of drawing a face card (king, queen, or jack)?
33. If the probability of event A is 0.4 and the probability of event B is 0.6, what is the probability of both events A and B occurring?
34. If the probability of event A is 0.7 and the probability of event B is 0.4, what is the probability of both events A and B not occurring?
35. If the standard deviation of a set of data is 10, what is the variance?
36. If the probability of rolling a total of 7 on two six-sided dice is 1/6, what is the odds against rolling a total of 7?
37. If the probability of rolling a 4 on a fair six-sided die is 1/6, what is the odds against rolling a 4?
38. In a deck of cards, what is the probability of drawing a heart?
39. A coin is tossed. What is the probability of getting heads?
40. In a survey, 60% of respondents preferred option A, and 40% preferred option B. What is the odds in favor of choosing option A?
41. In a normal distribution, what percentage of data falls within two standard deviations of the mean?
42. 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?
43. In a group of 30 students, 20 are girls. What is the probability of randomly selecting a girl from the group?
44. If the correlation coefficient between two variables is 0.9, what does this indicate about the relationship between the variables?
45. In a deck of cards, what is the probability of drawing an ace or a king?
46. If the interquartile range of a dataset is 15, and the third quartile is 80, what is the first quartile?
47. 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?
48. A coin is flipped three times. What is the probability of getting exactly two tails?
49. 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?
50. If the variance of a dataset is 25 and there are 5 data points, what is the standard deviation?