1st quarter exam Alig Maritime 12 Statistics and Probability

1. It may be viewed as a way to map outcomes of statistical experiment determine by chance into a number.

A) Probability mass function
B) Continuous random variable
C) Random variable
D) Discrete random variable

2. It is countable.

A) Discrete random variable
B) Random variable
C) Probability mass function
D) Continuous random variable

3. It uses scale.

A) Probability mass function
B) Random variable
C) Continuous random variable
D) Discrete random variable

4. Which of the following is not a continuous random variable?

A) The time needed to finish a test.
B) The number of deaths per year attributed to motorcycle accidents.
C) The speed of a motorcycle.

5. Which of the following is a discrete random variable?

A) The average amount of electricity consumed.
B) The average weight of female athletes.
C) The amount of paint used in repainting a building.
D) The number of patients in a hospital.

6. Which of the following cannot serve as values of a probability distribution?

A) P(1) = 9/14, P(2) = 4/14, P(3) = 1/14
B) P(1) = 10/33, P(2) = 1/3, P(3) = 12/33
C) P(1) = 0, P(2) = 0.71, P(3) = 0.39
D) P(1) = 0.08, P(2) = 0.12, P(3) = 1.03

7. Which of the following is not a true statement?

A) The sum of all the probability distribution is always equal to one.
B) The probability of a random variable could be zero.
C) The value of a random variable could be zero.
D) Random variables can only have one value.

8. If P(X) = X/6, What are the possible values of X for it to be a probability distribution?

A) 0,2,3
B) 1,1,2
C) 1, 2, 3
D) 2, 3, 4

A) a
B) b
C) c
D) d

10. Which of the following is an example of continuous random variable?

A) The number of tourists each day in a museum.
B) The lifetime in hours of 15 flashlights.
C) The number of books in the library.
D) The weight of grade 1 pupils.

11. If two coins are tossed, which is not a possible value of the random variable for the number of heads?

A) 3
B) 2
C) 0
D) 1

12. What is the mean of the probability distribution?

A) 1.2
B) 1.5
C) 1.6
D) 1.8

13. What is the variance of the probability distribution?

A) 0.50
B) 1.25
C) 1.00
D) 0.75

14. What is the standard deviation of the probability distribution?

A) 1.00
B) 0.71
C) 1.12
D) 0.87

15. What is the mean of the probability distribution?

A) 3.5
B) 4.0
C) 2.0
D) 1.5

16. What is the variance of the probability distribution?

A) 6.35
B) 7.50
C) 4.15
D) 8.00

17. What is the standard deviation of the probability distribution?

A) 4.15
B) 8.00
C) 2.83
D) 6.35

18. The number of books in the library.

A) C
B) D

19. The weight of grade 1 pupils.

A) C
B) D

20. The capacity of water dam in a region.

A) D
B) C

21. The number of tourists each day in museum.

A) D
B) C

22. What is P(X = 2)?

A) 0.3
B) 0.2
C) 0.8
D) 0.5

23. What is the mean?

A) 6.1
B) 3.2
C) 2.3
D) 0.61

24. what is the variance?

A) 6.1
B) 2.3
C) 0.781
D) 0.61

25. What is the standard deviation?

A) 0.61
B) 6.1
C) 2.3
D) 0.781

26. What does the μ represent in the normal distribution formula?

A) standard deviation
B) variance
C) median
D) mean

27. What does the σ represent in the normal distribution formula?

A) variance
B) standard deviation
C) mean
D) median

A) mean
B) variance
C) median
D) standard deviation

29. A fair six-sided die is rolled. Let X be the random variable representing the number on the die. What is P(X = 4)?

A) 1/2
B) 2/3
C) 1/6
D) 1/3

30. find the mean

A) 2.01
B) 1.42
C) 3.3
D) 12.29

31. find the variance

A) 3.3
B) 2.01
C) 1.42
D) 12.29

32. What is the mean of a standard normal distribution?

A) 0
B) 10
C) 1
D) 100

33. What is the shaped of the normal distribution?

A) skewed left
B) bell-shaped
C) skewed right
D) uniform

34. What is the percentage of data falls within one standard deviation of the mean in a normal distribution?

A) 50%
B) 95%
C) 99.7%
D) 68%

35. What is the total area under the normal curve?

A) 2
B) 0.5
C) infinity
D) 1

36. What percentage of data falls within two standard deviations of the mean in a normal distribution?

A) 100%
B) 68%
C) 99.7%
D) 95%

37. What is the standard deviation of a standard normal distribution?

A) 100
B) 0
C) 1
D) 10

38. In a normal distribution, what percentage of data falls below the mean?

A) 25%
B) 50%
C) 100%
D) 75%

39. Which of the following statements is true about the normal distribution?

A) it is symmetrical
B) it is skewed
C) it has a long tail
D) it is assymetrical

40. In a normal distribution, what is the relationship between the mean, median, and mode?

A) Mean > Median > Mode
B) Mean ≠ Median ≠ Mode
C) Mean = Median = Mode
D) Mean < Median < Mode

41. A normal distribution has a mean of 5 and a standard deviation of 1. What percentage of the data falls between 4 and 6?

A) 99.7%
B) 95%
C) 50%
D) 68%

42. What information is needed to construct a normal curve?

A) Variance and range
B) Median and mode
C) Mean and standard deviation
D) Interquartile range

43. How does changing the standard deviation affect the normal curve?

A) Changes the shape of the curve
B) Changes the spread of the curve
C) Shifts the curve left or right
D) No effect

44. How does changing the mean affect the normal curve?

A) No effect
B) Shifts the curve left or right
C) Changes the height of the curve
D) Changes the shape of the curve

45. What happens to the normal curve as the standard deviation increases?

A) The curve shifts to the right
B) The curve shifts to the left
C) The curve becomes more peaked
D) The curve becomes more spread out

46. A bag contains 5 red balls and 3 blue balls. What is the probability of drawing a red ball?

A) 3/8
B) 3/5
C) 5/8
D) 1/2

A) d
B) a
C) c
D) b

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