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

2. It is countable.

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

3. It uses scale.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

12. What is the mean of the probability distribution?

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

13. What is the variance of the probability distribution?

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

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

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

15. What is the mean of the probability distribution?

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

16. What is the variance of the probability distribution?

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

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

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

18. The number of books in the library.

A) C
B) D

19. The weight of grade 1 pupils.

A) D
B) C

20. The capacity of water dam in a region.

A) C
B) D

21. The number of tourists each day in museum.

A) D
B) C

22. What is P(X = 2)?

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

23. What is the mean?

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

24. what is the variance?

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

25. What is the standard deviation?

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

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

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

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

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

A) median
B) mean
C) variance
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) 1/3
B) 2/3
C) 1/6
D) 1/2

30. find the mean

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

31. find the variance

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

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

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

33. What is the shaped of the normal distribution?

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

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

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

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

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

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

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

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

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

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

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

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

A) it has a long tail
B) it is symmetrical
C) it is skewed
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) 68%
B) 99.7%
C) 50%
D) 95%

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

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

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

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

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

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

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

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

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

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

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

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