Statistics & Probability

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Q. In a lottery, there are 100 tickets, and 10 of them are winning tickets. If one ticket is drawn at random, what is the probability that it is a winning ticket?
  • A. 1/10
  • B. 1/5
  • C. 1/20
  • D. 1/50
Q. In a lottery, there are 100 tickets, and 10 of them are winning tickets. What is the probability of selecting a winning ticket?
  • A. 1/10
  • B. 1/5
  • C. 1/20
  • D. 1/50
Q. In a normal distribution, approximately what percentage of data lies within one standard deviation of the mean?
  • A. 50%
  • B. 68%
  • C. 75%
  • D. 95%
Q. In a normal distribution, what percentage of data lies within one standard deviation from the mean?
  • A. 68%
  • B. 95%
  • C. 99%
  • D. 50%
Q. In a normal distribution, what percentage of data lies within one standard deviation of the mean?
  • A. 50%
  • B. 68%
  • C. 75%
  • D. 95%
Q. In a set of numbers, if the mean is 50 and the sum of the numbers is 400, how many numbers are there?
  • A. 6
  • B. 7
  • C. 8
  • D. 9
Q. In a survey, 60% of people like tea, 30% like coffee, and 10% like both. What is the probability that a person likes coffee given that they like tea?
  • A. 0.5
  • B. 0.3
  • C. 0.2
  • D. 0.1
Q. In a survey, 60% of people like tea, and 40% like coffee. If a person is chosen at random, what is the probability that they like coffee given that they do not like tea?
  • A. 0.4
  • B. 0.6
  • C. 0.5
  • D. 1
Q. In a survey, 60% of people prefer tea over coffee. If 10 people are surveyed, what is the expected number of people who prefer tea?
  • A. 4
  • B. 6
  • C. 8
  • D. 10
Q. In a survey, 60% of people prefer tea over coffee. If 50 people are surveyed, how many prefer tea?
  • A. 30
  • B. 25
  • C. 35
  • D. 40
Q. In a survey, 70% of people like chocolate. If 10 people are surveyed, what is the expected number of people who like chocolate?
  • A. 5
  • B. 7
  • C. 8
  • D. 6
Q. In a survey, 70% of people like chocolate. If 200 people are surveyed, how many like chocolate?
  • A. 140
  • B. 150
  • C. 160
  • D. 170
Q. In a survey, 70% of people like chocolate. If 200 people were surveyed, how many like chocolate?
  • A. 140
  • B. 150
  • C. 160
  • D. 170
Q. In a survey, 70% of people like tea and 30% like coffee. If a person is chosen at random, what is the probability that they like tea given that they do not like coffee?
  • A. 1/3
  • B. 2/3
  • C. 1/2
  • D. 1
Q. In a survey, 70% of people like tea and 40% like coffee. If 30% like both, what is the probability that a person likes coffee given that they like tea?
  • A. 0.4
  • B. 0.3
  • C. 0.5
  • D. 0.6
Q. In a survey, 70% of people like tea, and 40% like coffee. If 30% like both tea and coffee, what is the probability that a person likes coffee given that they like tea?
  • A. 0.4
  • B. 0.3
  • C. 0.5
  • D. 0.6
Q. In a survey, 70% of people like tea, and 40% like coffee. If 30% like both tea and coffee, what is the probability that a person likes tea given that they like coffee?
  • A. 0.5
  • B. 0.7
  • C. 0.3
  • D. 0.4
Q. In a survey, 70% of people prefer tea over coffee. If 10 people are surveyed, what is the expected number of tea drinkers?
  • A. 5
  • B. 7
  • C. 8
  • D. 6
Q. In a survey, 70% of people prefer tea over coffee. If 10 people are surveyed, what is the probability that exactly 7 prefer tea?
  • A. 0.193
  • B. 0.200
  • C. 0.250
  • D. 0.300
Q. In a survey, 70% of people prefer tea over coffee. If 50 people are surveyed, how many prefer tea?
  • A. 30
  • B. 35
  • C. 40
  • D. 45
Q. The average of five numbers is 18. If one number is excluded, the average becomes 16. What is the excluded number?
  • A. 20
  • B. 22
  • C. 24
  • D. 26
Q. The average of five numbers is 18. If one number is removed, the average becomes 16. What was the removed number?
  • A. 20
  • B. 22
  • C. 24
  • D. 26
Q. The interquartile range of the data set: 1, 2, 3, 4, 5, 6, 7, 8 is:
  • A. 2
  • B. 3
  • C. 4
  • D. 5
Q. The mean of a data set is 50 and the standard deviation is 5. What is the coefficient of variation?
  • A. 5%
  • B. 10%
  • C. 15%
  • D. 20%
Q. The median of the data set: 2, 3, 5, 7, 11, 13 is?
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. The mode of the data set: 1, 2, 2, 3, 4, 4, 4, 5, 5 is?
  • A. 1
  • B. 2
  • C. 4
  • D. 5
Q. The range of the data set 1, 3, 5, 7, 9 is:
  • A. 8
  • B. 6
  • C. 4
  • D. 2
Q. The range of the data set {10, 15, 20, 25, 30} is?
  • A. 15
  • B. 20
  • C. 25
  • D. 30
Q. What is the 75th percentile of the data set {10, 20, 30, 40, 50}?
  • A. 40
  • B. 30
  • C. 50
  • D. 20
Q. What is the arithmetic mean of the first five prime numbers?
  • A. 5
  • B. 6
  • C. 7
  • D. 8
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