EMT Practice Test

1. Question Content...

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Question1: Calculate the single extreme point of the function:

Question2: Identify which of the following non-terminating geometric series converge, for values of x such that 1 < x < 2.

Question3: Evaluate

Question4: Identify which of the following statements is true,where X is a discrete random variable that exists over the domain [a. b], and F(x) is its distribution function.
A)

B)

C)

D)

Question5: Calculate the sum of the following series: 3, -6,12, -24,..., -1.536.

Question6: Identify which of the following statements is not always true about a probability experiment.

Question7: A snack bar does not give an itemised bill tor drinks In the past three visits, the total bills have been:
1) Three teas, two coffees and one lemonade cost £9.80
2) One tea four coffees and two lemonades cost £13.60
3) Two teas, two coffees andtwo lemonades cost£10
Calculate the price for a single coffee, given the prices have been the same for the three visits.

Question8: Express the following using Pi notation:

A)

B)

C)

D)

Question9: Let X be a continuous random variable with probability density function f(x) that is defined over all real numbers.
DefineE[g(X)]whereg(x)is a continuous function.
A)

B)

C)

D)

Question10: Identify which of the following statements about statistical measures for a set of data is false.

Question11: Identify which of the following statements is correct.
A continuous random variable is one that:

Question12:
Calculate the minimum value of f.

Question13: Determine the binomial expansion of (2x-X2)3.

Question14: Consider the function f(x) =x2- 5x - 3
The value of one of the roots of the above equation can be obtained by using the iteration formula

Apply the iteration formula to determine the value of the root.

Question15: Determine the stationary point(s) for the following function

Question16: Consider the three vectors:

Determine which of (he vectors or combination of vectors shown in the options has the greatest magnitude

Question17: Multiplythe following two matrices together.

A)

B)

C)

D)

Question18: A national newspaper wants to publish the results of a survey showing people's preferences for different types of sandwiches. Identify which of the following ways of publishing the survey results is likely to be the least useful to its readers.

Question19: Identify which of the following values is represented by: