Simplify the expression:

A)

B)

C)

D)

• A.Option A
• B.Option C
• C.Option D
• D.Option B

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Identify which of the following statements about statistical measures for a set of data is false.

• A.The sample variance is always smaller than or equal to the largest value.
• B.The range is always greater than or equal to zero.
• C.The range can be greater than the largest value.
• D.The sample variance is always greater than or equal to zero.

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Suppose A and B are two events and that A denotes the complement of A.
Identify the false statement.
A)

B)

C)

D)

• A.Option D
• B.Option C
• C.Option B
• D.Option A

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Let X be a random variable.
identify which of the following statements is correct.
A)

B)

C)

D)

• A.Option B
• B.Option A
• C.Option D
• D.Option C

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Consider the function f(x)x2 6x=20. This functions has a stationary point at x=3.
Determine the nature of this stationary point and how we know this to be true.

• A.It is a minimum stationary point because the second derivative of the function with respect to x takes the value 2 which is positive.
• B.It is a maximum stationary point because the value of the function at x = 3 is 11, which is positive.
• C.It is a maximum stationary point because the second derivative of the function with respect to x takes the value 2, which is positive.
• D.It is a minimum stationary point because the value of the function at x = 3 is 11, which is positive.

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