Statistics

81. If the variance of a dataset is 124, what is its standard deviation?

• A 11.14 Correct answer
• B 22.27
• C 5.57
• D 14.14

82. If P(A | B) = P(A), then events A and B are:

• A Mutually exclusive
• B Dependent
• C Independent Correct answer
• D Exhaustive

83. The range of a beta distribution of the first kind is:

• A 0 to infinity
• B -infinity to +infinity
• C 0 to 1 Correct answer
• D -1 to +1

84. If every value in a dataset is increased by 42, what happens to the standard deviation?

• A Increases by 42
• B Decreases by 42
• C Remains unchanged Correct answer
• D Multiplied by 42

85. Bayes' Theorem is used to calculate:

• A Prior probabilities
• B Posterior probabilities Correct answer
• C Subjective probabilities
• D Joint probabilities

86. Which distribution has a probability density function that remains constant over its interval?

• A Normal Distribution
• B Uniform (Rectangular) Distribution Correct answer
• C Gamma Distribution
• D Weibull Distribution

87. In a moderately asymmetrical distribution, if the mean is 74 and the median is 72, what is the approximate value of the mode?

• A 68 Correct answer
• B 72
• C 64
• D 76

88. Two dice are rolled. What is the total number of outcomes in the sample space?

• A 12
• B 36 Correct answer
• C 18
• D 6

89. The binomial distribution approaches the Poisson distribution when:

• A n is small, p is large
• B n is large, p is very small Correct answer
• C n is large, p is large
• D n is small, p is small

90. The standard deviation of a set of 40 identical observations (e.g., all values are 35) is equal to:

• A 35
• B 0 Correct answer
• C 1
• D Cannot be determined